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7.SP.4 [552045] Stude nt Class Date 1 . Jason’s science test scores are 70, 80, 85, 95, and 100. The teacher will remove the lowest test score before calculating Jason’s grade. What is the difference between Jason’s mean test score before the lowest score is removed and his mean test score after the lowest score is removed? A . 4 B . 5 C . 10 2 . Scientists counted eggs in a random sample of nests for two different types of sea turtles. The results are shown in the table. 7.SP.4 Page 1/62

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7.SP.4 [552045]StudentClassDate

1. Jason’s science test scores are 70, 80, 85, 95, and 100. The teacher will remove the lowest test score before calculating Jason’s grade. What is the difference between Jason’s mean test score before the lowest score is removed and his mean test score after the lowest score is removed?

A. 4

B. 5

C. 10

2. Scientists counted eggs in a random sample of nests for two different types of sea turtles. The results are shown in the table.

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Based on these data, which statement is true?

A.   The median number of eggs in the nest of the Green sea turtle is less than the median number of eggs in the nest of the Olive Ridley sea turtle.

B.   The interquartile range for the Green sea turtle is smaller than the interquartile range of the Olive Ridley sea turtle.

C.   The range for the number of eggs laid by the Green sea turtle is less than the range for the number of eggs laid by the Olive Ridley sea turtle.

D.   The mean number of eggs laid by theGreen sea turtleis more than themean number of eggs laid by theOlive Ridley sea turtle.

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3. The number of bikes sold by a store over a period of two weeks is shown below.

    

Which statement correctly compares the two data sets?

A. The range of Week 1 is equal to the range of Week 2.

B. The range of Week 1 is less than the range of Week 2.

C. The median of Week 1 is equal to the median of Week 2.

D. The median of Week 1 is greater than the median of Week 2.

4. Sandra’s math test scores are 10, 50, 75, 80, 82, 82, and 97. The lowest score will not be counted. How does the original mean score compare with the mean, after the lowest score is removed?

A. The final mean is higher than the original.

B. The final mean is lower than the original.

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C. The final mean is the same as the original.

D. The relationship cannot be determined.

5. Cindy recorded the heights of boys and girls in her class in the table below.

Student HeightsBoys

(inches)Girls

(inches)

53 59

60 63

64 60

62 54

61 59

Based on the table, which statement is true?

A. The median height of girls is greater than the median height of boys.

B. The mean height of girls is greater than the mean height of boys.

C. The mean height of girls is less than the mean height of boys.

6. In the table below, Cody recorded the number of shots attempted

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and the number of shots made in five basketball games.

 Number of shots attempted  Number of shots made 25  10 30  15 22  8 18  7 28  17

What is the difference between the median number of shots attempted and the median number of shots made?

A. 15

B. 14

C. 13

D. 11

7. The box-and-whisker plots below depict the scores earned by Mr. Chin’s Period 1 and Period 2 classes on their most recent chapter test.

Which statement is best supported by the plots?

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A. The range in the Period 1 scores is greater than the range in the Period 2 scores.

B. The median score in Period 1 is greater than the median score in Period 2.

C. The mean score in Period 1 is greater than the mean score in Period 2.

D. The number of students in Period 1 is greater than in Period 2.

8. The table below shows the monthly cell phone bills of Amanda and John for the year 2012.

Which statement is correct?

A. John’s bills have a greater range and median than Amanda's bills.

B. Amanda’s bills have a greater range and median than John's bills.

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C. John’s bills have a greater median but a smaller range than Amanda's bills.

D. Amanda’s bills have a greater median but a smaller range than John's bills.

9. The dot plots show the numbers of pets owned by students in two different classes.

 Part A  What is the mean number of pets owned per student in Mr. Anderson’s class?

Part B  What is the mean number of pets owned per student in Ms. Brown’s class?

Part C  Which class owns the most pets per student?

10. Two relay teams recorded their running times over the track season.

Team 1 had race times from 44.04 seconds to 61.59 seconds. Team 2’s range of race times was greater than Team 1’s

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range.

Which could be the range of Team 2’s scores?

A. 32.25 to 45.39 seconds

B. 40.81 to 62.19 seconds

C. 46.15 to 63.18 seconds

D. 48.08 to 59.42 seconds

11. Two box plots are shown below.

What is the difference between the interquartile range of box plot X and the interquartile range of box plot Y?

A. 0

B. 1

C. 2

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12. Every day for a week, two boys did sit-ups for one minute. They recorded the number of sit-ups they could do in one minute in the chart below.

Number of Sit-ups in One Minute Day  Dustin  Jacob

1  41 362 39 383 39 394 42 405 45 456 46 457 46 47

Which statement is true based on the data?

A. The median number of sit-ups for Jacob was 45.

B. The median number of sit-ups for Dustin was 45.

C. Jacob’s mean number of sit-ups is greater than Dustin’s mean number of sit-ups.

D. Dustin’s mean number of sit-ups is greater than Jacob’s mean number of sit-ups.

13. Chris recorded the temperature, to the nearest °F, for a city over two weeks.

 Week 1  37  35  34  30  32  36  34 Week 2 37  36  40  33  31  30  31

What is the difference between the median temperature of week 1 and the median temperature of week 2?

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A. 1°

B. 2°

C. 3°

D. 4°

14. The table below represents the scores of ten students in Ms. Williams’s class on a math and science test.

Which statement correctly compares the scores in science with those in math?

A. The average scores in science are higher, but there are more outliers in the math scores.

B. The average scores in math are higher, but there are more outliers in

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the science scores.

C. The average scores in science are higher, and there are more outliers than in the math scores.

D. The average scores in math are higher, and there are more outliers than in the science scores.

15. The table shows the ending stock price for two companies for five days.

 Company A’s   Stock Price

$25.28  $27.50 $26.25 $29.58 $30.25

Company B’s Stock Price

 $26.50  $32.41  $25.65  $29.41  $31.65

Based on this information, which statement is true?

A. The mean stock price for Company A is greater than the mean stock price for Company B.

B. The mean stock price for Company B is greater than the mean stock price for Company A.

C. The median stock price for Company A is greater than the median stock price for Company B.

D. The mean stock price for Company B is greater than the median stock price for Company B.

16. The table shows the number of push-ups that several students

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could do in two different classes.

Number of Push-ups  Class #1   Class #2

 56  42 54  52 44  48 35  36 29  31

What is the difference between the median number of push-ups done by each class?

A. 2

B. 4

C. 6

D. 8

17. The daily high temperatures (in °F) of two cities for the first 10 days of a month are given below.

Part A. Complete the tables below by doing the following.

Enter the temperatures for each city in the tables below. Use the temperature data to calculate the mean temperature for each city, and

enter that into the tables. Use the mean for each city to find the deviation from mean for each

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temperature as well as the absolute deviation from mean. Calculate the mean absolute deviation for each city.

  Part B. Use the mean and the mean absolute deviation to compare the weather in city A and city B.

Use words, numbers, and/or pictures to show your work.

18. The table below shows the number of words written in journal entries by two students.

Writer  Number of Words per Journal EntryAudrey 184, 150, 190, 181, 210, 186 Nathan 180, 200, 160, 165, 215, 190

Which statement below is true?

A. The mean number of words per journal entry was greater for

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Audrey than Nathan.

B. The median number of words per journal entry was greater for Nathan than Audrey.

C. The mean number of words per journal entry was the same for Audrey and Nathan.

D. The median number of words per journal entry was the same for Audrey and Nathan.

19. The two data sets below represent the high temperatures in two cities each day for 5 days.

City A: 18°F, 44°F, 52°F, 55°F, 58°F, 56°F

City B: 15°F, 41°F, 63°F, 61°F, 57°F, 60°F

Which statement best describes the measure of center that provides the most accurate estimation of the high temperature in a day in each city?

A. mean, because there is an even number of values in each data set

B. median, because there is an even number of values in each data set

C. mean, because there is one value in each data set that is significantly lower than the other values

D. median, because there is one value in each data set that is significantly lower than the other values

20. An amusement park debuted a new roller coaster this season, and Peter, the park manager, is interested in the number of people who are riding it.

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The two data sets below represent the number of riders during the first two weeks of June.

DAY Sun Mon Tue Wed Thurs Fri Sat

Week 1  4,100  4,100  4,400  4,200 4,500  5,000  8,700

Week 2 4,800 2,300 2,300 2,500 2,200 4,800 4,700

Rather than look at all those numbers, Peter wants to select a measure of central tendency that he can use to compare the attendance from week to week. Peter understands that many visitors want to ride the most popular attractions; therefore, he does not want outlier data to have too great an impact.Given that consideration, which measure of central tendency should Peter use to compare the attendance of week 1 to the attendance of week 2?

A. Peter should compare the mean attendance of week 1 to the mean attendance of week 2.

B. Peter should compare the mean attendance of week 1 to the median attendance of week 2.

C. Peter should compare the median attendance of week 1 to the mean attendance of week 2.

D. Peter should compare the median attendance of week 1 to the median attendance of week 2.

21. Which statement below is true based on the box plots?

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A. Plot 2 has a larger interquartile range than Plot 1.

B. Plots 1 and 2 have the same interquartile range.

C. Plot 2 has a larger median than Plot 1.

D. Plots 1 and 2 have the same median.

22. Mary and Jacob compared their math quiz scores for the first grading period. Their scores are listed in the table below.

 Mary’s Scores  83  86  90  92  87  78  93  92  84 Jacob’s Scores 84 83 86 90 91 92 79 94 86

Which statement is true?

A. The mean test scores of both students is the same.

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B. The median test scores of both students is the same.

C. The mean of Mary’s test scores is less than the mean of Jacob’s test scores.

D. The median of Mary’s test scores is less than the median of Jacob’s test scores.

23. The table below shows the number of cats and dogs who visited an animal clinic each day for five days.

Cats Dogs

6 10

4 6

2 7

10 5

3 12

Based on the data in the table, which statement is true?

A. The mean absolute deviation of cats is less than the mean absolute deviation of dogs.

B. The mean absolute deviation of cats is greater than the mean absolute deviation of dogs.

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C. The mean absolute deviation of cats and dogs visiting the clinic is the same.

24. The table below shows the amounts of money raised during a fundraiser at a school by each of the 6th- and 7th-grade homerooms.

6th grade $132 $94 $216 $184 $76

7th grade $124 $156 $113 $205 $150

What is the difference between the mean absolute deviations of the 6th- and 7th-grade homerooms?

A. 9.2

B. 22.8

C. 37.2

25. The tables below show the number of hours Marcella and Isabel worked in each of the past eight weeks.

Marcella wants to use either the median or the mean of each data set to estimate the number of hours they worked each week. Which statement best explains which measure of center she should use?

A. the mean, because there are an even number of values in each data set

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B. the median, because there are an even number of values in each data set

C. the mean, because there is one value in each data set that is significantly greater than the other values

D. the median, because there is one value in each data set that is significantly greater than the other values

26. Two classes sold raffle tickets for six days. The table below shows how many tickets each class sold.

Class 1 72 105 82 94 87 97Class 2 97 150 79 84 101 79

Which statistical measure is equal for the two sets of data?

A. median

B. mean

C. mode

D. range

27. John’s math grades for first and second semester are listed in the

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table below.

 1st semester  80  95  70  88  93 2nd semester 70 85 90 81 92

What is the difference between the mean of John’s first semester grades and the mean of his second semester grades?

A. 1.2

B. 1.6

C. 3.0

D. 3.5

28. Lauren recorded the price of a gallon of milk at two grocery stores for four weeks.

Milk Prices Week 1 

Price Week 2 

Price Week 3 

Price Week 4 

Price Discount Mart $2.99 $3.19  $3.55  $3.05

Super Store $3.19 $2.79 $2.99 $3.49

On average, which grocery store had a better price for milk and by how much?

A. Discount Mart by $0.08 per gallon

B. Super Store by $0.08 per gallon

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C. Discount Mart by $0.40 per gallon

D. Super Store by $0.40 per gallon

29. The table shows the number of homework problems assigned each day for a week in 2 math classes.

What is the conclusion about the seventh and eighth grade math classes based on the data?

A. Seventh grade math classes do more homework than eighth grade math classes.

B. The median number of problems assigned in eighth grade classes is less than the median number of problems assigned in seventh grade classes.

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C. The average number of problems assigned in eighth grade classes is more than the average number of problems assigned in seventh grade classes.

D. The range of the number of homework problems assigned in eighth grade is greater than the range of the number of problems assigned in seventh grade.

30. The heights, in inches, of students from two classes are recorded in the table below.

Heights of Students Class A  Class B

 36 5238 3838 4450 4041 4248 4045 5141 4341 4447 41

What is the relationship between the median height of the two classes?

A.Students in Class B are about inches taller than students in Class A.

B.Students in Class A are about inches taller than students in Class B.

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C. Students in Class B are about 1 inch taller than students in Class A.

D. Students in Class A are about 1 inch taller than students in Class B.

31. A survey of 20 boys and 20 girls was conducted to see how much time students spend on the computer each day during the summer. The results of the survey are shown in the table.

Based on the data, which conclusion is true?

A. The average amount of time boys spend on the computer each day is more than girls.

B. The minimum amount of time girls spend on a computer each day is 35 minutes.

C. Some girls spend more time on the computer each day than boys.

D. Some boys spend less time on the computer each day than girls.

32. The table below shows John’s and Maggie’s first five test grades for 2nd period.

Test Scores John  Maggie

92 8587 94

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90 7876 9085 93

What is the difference between the mean absolute deviation of John’s test scores and the mean absolute deviation of Maggie’s test scores?

A. 5.2

B. 4.8

C. 2.0

D. 0.8

33. Mrs. Jones tells her students she will remove their lowest grade before calculating the mean, or use the median of their scores for their final grade. The choice is up to the student.

Student 1’s grades: 60, 75, 85, 88, 88, 100 Student 2’s grades: 80, 80, 82, 85, 87, 88

Which method is a better final grade for these students?

A. Both students should remove their lowest scores and find the mean.

B. Both students should find the median of their grades.

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C. Student 2 should find the median. Student 1 should remove the lowest score and find the mean.

D. Student 1 should find the median. Student 2 should remove the lowest score and find the mean.

34. The table shows test scores for two students.

  Richard  Jerry89 6992 9394 9374 8379 95

Which statement is true?

A. The median of Richard’s scores was higher than the median of Jerry’s scores.

B. The median of Richard’s scores was lower than the median of Jerry’s scores.

C. The mean of Richard’s scores was higher than the mean of Jerry’s scores.

D. The means of Richard’s scores and Jerry’s scores were the same.

35. The table shows the number of e-mails received per day by each of two employees during a 5-day period.

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Based on this information, which statement best describes the average number of e-mails Kayla received during this 5-day period compared to the average number of e-mails Jamal received during the same period?

A. Kayla received fewer e-mails per day and the number of e-mails she received varied more.

B. Kayla received fewer e-mails per day and the number of e-mails she received varied less.

C. Kayla received more e-mails per day and the number of e-mails she received varied more.

D. Kayla received more e-mails per day and the number of e-mails she received varied less.

36. John recorded the high temperatures for 5 days in two towns. The temperatures are listed below.

High TemperaturesTown G

(°F)Town H

(°F)

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90 87

95 90

94 91

93 89

98 93

Based on the table, which statement is true?

A. The mean temperature in Town G was less than the mean temperature in Town H.

B. The median temperature in Town G was less than the median temperature in Town H.

C. The median temperature in Town G was greater than the median temperature in Town H.

37. Central Middle School had a candy sale for 10 days. Beverly and Daniel recorded their daily sales in the chart below.

Number of Candy Bars Sold Day  Beverly  Daniel

1 19 202 21 133 14 164 17 175 20 226 15 147 24 128 17 169 16 18

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10 17 12

Based on the chart, which statement is true?

A. The mean number of candy bars sold by Beverly was greater than the mean number of candy bars sold by Daniel.

B. The mean number of candy bars sold by Beverly was less than the mean number of candy bars sold by Daniel.

C. The median number of candy bars sold by Beverly was less than the median number of candy bars sold by Daniel.

D. The median number of candy bars sold by Beverly and Daniel was the same.

38. The table below shows the daily golf scores between Jeff and Dalton in a week-long tournament.

Golf ScoresJeff 81 83 81 77 75 73 76

 Dalton  76  77  81  79  72  80  74

Which statement is true?

A. The mean of Jeff’s golf scores was less than the mean of Dalton’s golf scores.

B. The mean of Jeff’s golf scores was greater than the mean of Dalton’s golf scores.

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C. The median of Jeff’s golf scores was less than the median of Dalton’s golf scores.

D. The median of Jeff’s golf scores was greater than the median of Dalton’s golf scores.

39. The stacked box plot displays the estimated and actual golf scores of a group of golfers.

Which statement is true?

A. Most golfers scored lower than they estimated.

B. More golfers scored under 100 than they estimated.

C. The actual median golf score was higher than the estimated score.

D. All golfer’s estimated scores were lower than their actual scores.

40. A different student plays the part of the king in each performance of a play. The students must share the costume, so the group of students who

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play the king must have similar heights. Which statement identifies the best measure for determining which group of students could share the costume?

A.   Use the mean height of each group.

B.   Use the maximum height of each group.

C.   Use the range of the heights of each group.

D.   Use the median of the heights of each group.

41. Cole recorded his math and science test scores for the school year in the table.

 Math Test Scores  Science Test Scores 93  88 92  87 87  90 91  89 92  92 87  90

What is the difference between his median scores in math and science?

A. 0 points

B. 1 point

C. 2 points

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D. 3 points

42. Two teammates compared their scores from the last five basketball games.

Olivia scored 7, 10, 8, 3, and 12 points in the last five games. Justine scored 10, 8, 15, 5, and 12 points in the last five

games.

Which statement is true?

A. Olivia’s mean score is the same as Justine’s mean score.

B. Olivia’s mean score is greater than Justine’s mean score.

C. Olivia’s mean score is less than Justine’s mean score.

43. The table below displays the number of minutes John talked on his cell phone each day for 2 weeks.

Number of MinutesSun Mon Tue Wed Thur Fri Sat

 Week 1 19 21 12 25 25  40 12Week 2 9 16 15 35 38  31 10

Which statement is true?

A. The mean number of minutes John talked on his cell phone was greater for Week 2 than Week 1.

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B. The mean number of minutes John talked on his cell phone was the same for Week 1 and Week 2.

C. The median number of minutes John talked on his cell phone was greater for Week 2 than Week 1.

D. The median number of minutes John talked on his cell phone was the same for Week 1 and Week 2.

44. Toni recorded the high and low temperatures for five days in the table below.

Temperature Range High

Temperature (°F)

 Low Temperature

(°F) 64° 43° 57° 44° 56° 45° 56° 46° 57° 42°

What is the difference between the mean absolute deviation of high and low temperatures?

A. 14

B. 13

C. 2.4

D. 1.2

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45. The Alpha High School basketball team and the Beta High School basketball team each have 15 players. The table shows statistics about the heights, to the nearest inch, of 10 randomly selected basketball players from each team.

Measure Alpha High School

Beta High School

mean 72 70mean absolute deviation 1.23 4.92

Which inference about the basketball teams can be properly drawn?

A. The players on the Alpha High School basketball team tend to be closer in height than the players on the Beta High School basketball team.

B. The maximum height of all the players on the Alpha High School basketball team is greater than the maximum height of all the players on the Beta High School basketball team.

C. The median height of all the players on the Beta High School basketball team is 2 inches less than the median height of all the players on the Alpha High School basketball team.

D. The range of the heights of all the players on the Beta High School basketball team is 4 greater than the range of the heights of all the players on the Alpha High School basketball team.

46. A student records the change in height, measured in centimeters (cm), of four plants for a science experiment. After several weeks, she uses statistics to summarize her data. Which table shows statistics for the plant with the greatest variation in height since the beginning of the experiment?

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A.

  

B.

  

C.

  

D.

  

47. Walter recorded the height, in inches, of six boys and six girls in his class. The results are in the table below.

Height of Students Boys’ Heights  Girls’ Heights

68 62

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70 7364 6263 6871 6466 72

What is the difference between the interquartile range of boys’ heights and girls’ heights?

A. 1

B. 2

C. 3

D. 4

48. What’s the Deviation?Ayla is going to do a group project on deviation in her math class today. To practice finding deviation, Ayla did some calculations with her math exam scores. On her first two math exams, she scored 88 and 94, for an average, or mean, of 91. The deviation of each score from the mean is the difference between that score and the mean. If M represents the mean and x represents any score, the deviation of x is equal to

Part A. What is the deviation of Ayla's first math score from the calculated mean? What is the deviation of her second score from the calculated mean? What is the sum of the two deviations?

Part B. Ayla scored c on her third test. Letting a and b represent Ayla’s scores on her first and second tests, write an algebraic expression to represent the mean of the three tests. Then write an algebraic equation to give the deviation of her third test score from the new mean.

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Part C. Show algebraically that the sum of the deviations of the three tests is equal to 0.

Part D. For the group project, Ayla and nine of her classmates each measure the height of the classroom from the floor to the ceiling in meters. Their measurements are shown in the table below.

Find the mean of these measurements.

Part E. In the third column below, write the deviation of each measurement from the mean you found in part D. Be sure to include the sign of each deviation. If a measurement is less than the mean, the deviation is negative.

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Part F. Find the sum of all the deviations.

Use words, numbers, and/or pictures to show your work.

49. A junior karate tournament has four divisions where children compete based on their belt color. Use data from the table to answer the question.

Which division has the greatest variation in the ages of participants?

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A.   white/yellow

B.   orange/green

C.   blue/purple

D.   red/black

50. Adrienne and Tabitha competed in a bowling tournament. Their scores are displayed below.

Bowling Tournament Scores Adrienne  184  112  180  141Tabitha 158 100 166 171

If Tabitha won, what statistical measure determined that she was the winner?

A. mode

B. mean

C. median

D. range

51. Two ranches had 50 calves each. Each rancher weighed 5 calves. The data is shown in the

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table.

Which conclusion is most likely to be true?

A. The average weight of the calves on Ranch 1 is generally less than the average weight of the calves on Ranch 2.

B. The range of weights of the calves on Ranch 1 is less than the range of weights of the calves on Ranch 2.

C. The calves on Ranch 1 and the calves on Ranch 2 generally weigh the same.

D. The smallest calves are more likely to be on Ranch 1.

52. The table below shows the test scores for Sarah and Katie in math.

Sarah Katie

95 96

92 91

87 89

83 87

80 85

78  79

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What is the difference in the median grade for Sarah and the median grade for Katie?

A. 2

B. 3

C. 4

53. The chart below shows the number of points scored by two different basketball teams.

Team 1 Team 2101 7797 9585 10398 88

114 91

What is the difference in the mean absolute deviation between the two teams’ points?

A. 0.16

B. 0.82

C. 7.72

D. 8.20

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54. The table shows the test average for several students in two math classes.

 Class A  82  84  85  81  79  80 Class B 80 81 83 79 78 80

Based on the information in the table, which statement is true?

A. The mean for Class A is about 1.7 points higher than the mean for Class B.

B. The mean for Class A is about 1.2 points higher than the mean for Class B.

C. The mean for Class B is about 1.2 points higher than the mean for Class A.

D. The mean for Class B is about 1.7 points higher than the mean for Class A.

55. A doctor recorded the weights, in pounds, of some of her patients in the table below.

Weights of PatientsMale Female

114 101

137 89

106 112

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175 132

148 106

194 138

 162 127

Using the table, what is the difference between the mean weight of males and the mean weight of females?

A. 13 pounds

B. 33 pounds

C. 35 pounds

56. The table shows the top five semester grades in two language classes at a middle school.

Which value of x would make the range of the grades in the French class greater than the range of grades in the Spanish class?

A. 82

B. 87

C. 90

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D. 92

57. Miss Jackson is comparing her students' scores on the science test to the scores on the math test. She has recorded the scores for each test on the dot plots shown below.

Which of the following statements is true about the data?

A. The mean absolute deviation of the math scores is greater than that of the science scores; therefore, the math scores are more spread out than are the science scores.

B. The mean absolute deviation of the science scores is greater than that of the math scores; therefore, the science scores are more spread out than are the math scores.

C. The mean absolute deviation of the science scores is greater than that of the math scores; therefore, the science scores are higher than the math scores.

D. The mean absolute deviation of the math scores is greater than that of the science scores; therefore, the math scores are higher than the science scores.

58. Two small schools each have five classes. The number of students in each class at the two schools are shown in the table

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below.

Number of StudentsSchool A School B

25 29

24 22

29 28

25 23

27 25

Based on the table, which statement is true?

A. The median number of students in each class at the two schools is the same.

B. The median number of students in each class at School A is less than at School B.

C. The median number of students in each class at School A is greater than at School B.

59. A teacher collected data on the number of test questions in grade 6 and grade 7. He concluded that grade 7 tests have more variation in the number of problems than the grade 6 tests. The data for grade 6 is shown in the table.

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Which information makes the conclusion true?

A. The mean for grade 7 is 15.

B. The mean for grade 7 is 25.

C. The range for grade 7 is 6.

D. The range for grade 7 is 10.

60. A photographer is planning a group picture of all the students at a middle school. She wants to keep each homeroom class together and arrange the students in each class, by height, from tallest to shortest. Which statement identifies the best measure for comparing and organizing the homeroom classes?

A.   Use the minimum student height from each class.

B.   Use the maximum student height from each class.

C.   Use the mean of the student heights from each class.

D.   Use the range of the student heights from each class.

61. The two line plots below show the number of points scored by Ray and Lionel in each of their past 10 basketball games.

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Part A. Explain whether the median or the mean gives the most accurate estimation of how many points each boy scores in a typical game.

Part B. Who generally scores more points in a game? Explain your answer.

Use words, numbers, and/or pictures to show your work.

62. The heights of two groups of students in different grades are shown in the box-and-whisker plot below.

Which statement correctly compares the two data sets?

A. The range of group A is less than the range of group B.

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B. The median of group A is less than the median of group B.

C. The interquartile range of group A and group B is the same.

D. The first quartile of group A is greater than the first quartile of group B.

63. Dr. Williams recorded the weights, in pounds, of his 12-year-old patients in the table below.

 Boys’ Weights  Girls’ Weights125 110120 100119 105130 120138 115142 125

What is the difference between the mean absolute deviation of the weights of boys and girls?

A. 0.01

B. 0.17

C. 15

D. 16.5

64. Two teammates were comparing data from five basketball

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games.

Andrew scored 10, 14, 8, 12, and 11 points. Leroy scored 7, 12, 9, 11, and 16 points.

When comparing each boy’s points, which measure(s) have a value of 11?

A. range of Andrew’s points

B. range of Leroy’s points

C. mean and mode of both boys’ points

D. mean and median of both boys’ points

65. The scores of two basketball teams in 7 games are given below.

Team A: 18, 68, 60, 54, 58, 55, 63Team B: 52, 62, 54, 71, 49, 54, 22

Based on the data, which statement is correct?

A. Team B scores on average more points than team A because team B has a greater mean than team A.

B. Team A scores on average more points than team B because team A has a greater mean than team B.

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C. Team B scores on average more points than team A because team B has a greater range than team A.

D. Team A scores on average more points than team B because team A has a greater range than team B.

66. A teacher asked students in one class to record how long they spent studying for their final exams. He compared the data for the girls and the boys in the box plot shown. .

What is the teacher's conclusion for all his students, based on the data in the box plot?

A. The median number of hours the girls spent studying is lower than the median number of hours the boys spent studying.

B. The range of hours the girls spent studying is lower than the range of hours the boys spent studying

C. The maximum number of hours spent studying is the same for both the girls and the boys.

D. There is more than a 2 hour difference in the median number of hours spent studying between the girls and the boys.

67. The weights, in pounds, of nine randomly selected students from two different seventh-grade classes were recorded.

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Which is true when comparing the weights of the students in the two different classes?

A. The mean weights of both classes are the same.

B. The median weights of both classes are the same.

C. The median weight in Mr. Roan’s class is less than the median weight in Mrs. Yancey’s class.

D. The mean weight of Mr. Roan’s class is greater than the mean weight of Mrs. Yancey’s class.

68. The Washington Middle School and Jefferson Middle School recycling clubs have been weighing the amount of material they are recycling on a weekly basis.

Washington Middle SchoolWeek 1 2 3 4 5 6

 Pounds Recycled  13  34  54  38  10  13

Jefferson Middle SchoolWeek 1 2 3 4 5 6

 Pounds Recycled  50  10  16  12  20  12

On average, which school recycles more per week, and by how much?

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A. Jefferson Middle School, by 21 pounds

B. Jefferson Middle School, by 39 pounds

C. Washington Middle School, by 7 pounds

D. Washington Middle School, by 42 pounds

69. An ice cream store recorded daily sales for chocolate and vanilla ice cream.

Daily Ice Cream SalesVanilla  100  132  106  185  196  185  132

 Chocolate 106 132 165 132 185 195 175

Based on the results, which ice cream flavor is preferred, and what is the mathematical reason for this conclusion?

A. Chocolate, because it has the higher mean.

B. Vanilla, because it has the higher median.

C. Both are equally preferred, because the means are the same.

D. Both are equally preferred, because the medians are the same.

70. The table below displays the number of serves during each

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volleyball game for two players.

Number of Serves (per game) Game:  1  2  3  4 5 6  7  8

Lisa 6 4 4 5 6 5 2 3 Shana   8  12   6   7  11  10   8   9

What is the difference between Lisa’s median number of serves and Shana’s median number of serves?

A. 2

B. 3

C. 4

D. 5

71. A park ranger recorded this random sample of height data for the two types of trees shown.

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Which statement is best supported by this data?

A.   Redwoods grow more slowly than Douglas firs.

B.   Redwoods are 100 times taller than Douglas firs.

C.   Redwoods grow to be about 60 feet taller than Douglas firs on average.

D.   Redwoods are shorter than Douglas firs since the range for Redwoods is smaller than the range for Douglas firs.

72. Five members of the first period gym class and five members of the sixth period gym class run each day for a week. The table shows the average number of minutes run each day by the members of the two classes.

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Which conclusion can be reached based on the data?

A. The median average running time for both classes is the same.

B. The total time spent running in sixth period is less than the total time spent running in first period.

C. The range of average running times in first period is less than the range of average running times in sixth period.

D. The maximum average running time in first period is more than the maximum average running time in sixth period.

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