measures of dispersion & central...
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Data AnalysisMeasures of Dispersion & Central Tendency
1. Mike, Shannon, Layla, and Rachel each recorded the grades they received on five tests in their math class in the table below.
StudentTest Scores
Test 1 Test 2 Test 3 Test 4 Test 5
Mike 87 77 74 97 79
Shannon 75 63 62 67 71
Layla 86 92 91 84 85
Rachel 88 66 61 67 71What is the range of Rachel's scores?
A. 21B. 8C. 23D. 27
Measures of Dispersion & Central Tendency
2. What is the median of the following set of numbers?
51.8 , 50 , 44 , 50 , 45.2 , 42.2 , 47 , 54.8 , 39.2
A. 51.8B. 47C. 39.2D. 54.8
Measures of Dispersion & Central Tendency
3. What is the range of the following set of numbers?
44.3, 37.1, 47.5, 43.3, 40.1, 42.3, 39.1, 49.5, 38.1
A. 42.37B. 49.5C. 12.4D. 11.4
Measures of Dispersion & Central Tendency
4. What is the median of the following set of numbers?
83, 144, 160, 100, 202, 124, 137, 111, 179, 184
A. 142B. 137C. 140.5D. 144
Data Displays and Analysis
5. The following stem-and-leaf plot shows the height in inches of Mrs. Smith's first period Algebra class.
6 2 4 4 6 77 3 5 68 4 6 79 2 2 3 5 6
What is the median height? A. 76 inchesB. 84 inchesC. 80 inchesD. 85 inches
Probability - Compound Events
6. The contingency table below gives the counts of students by activities and gender.
Band Sports Debate Total
Male 105 320 7 432
Female 105 160 14 279
Total 210 480 21 711If a student is randomly selected, what is the probability that a student is female or plays sports?
A. B. C. D. E.
Measures of Dispersion & Central Tendency
7. What is the mean of the following set of numbers? [Round the answer to the hundredths place if needed.]
1, 2.92, 12, 12.39, 11, 33, 4.05, 21
A. 33
B. 1C. 13.91D. 12.17
Best-Fit Lines
8. The graph below shows a line of best fit for data collected on the age of a car and the overall mileage of the car.
Based on the line of best fit, what is the mileage of a 12-year-old car? A. 225,000 milesB. 90,000 milesC. 112,500 milesD. 180,000 miles
Data Displays and Analysis
9. Halle planted mint and basil seeds in her herb garden. She measured the height of each herb plant at the end of each week for six weeks. The results are shown in the line graph below.
What is the difference in the mean growth per week for both herbs during the six weeks shown in the graph? A. 0.8 cm/week
B. 2.9 cm/week
C. 0.6 cm/week
D. 0.5 cm/week
Probability - Compound Events
10. Todd forgot the first two numbers of his locker combination. The numbers can be any number 1 through 6. What is the probability that he will guess the first number incorrectly and the second number incorrectly?
A.
B.
C.
D.
Probability - Compound Events
11. Kayla has a standard deck of 52 cards and a six-sided die. What is the probability that she will pull a diamond from the deck of cards and roll a 6?
A.
B.
C.
D.
Probability - Compound Events
12. In an experiment a six-sided die is rolled a number of times. The results are shown below.
Number Rolled Number of Times Rolled1 72 73 34 65 76 4
Based on these results, what is the experimental probability of rolling either a 4 or 5? A. 6/17
B. 13/34
C. 7/17
D. 13/27
Measures of Dispersion & Central Tendency
13. What is the lower quartile, Q1, of the following data set?
42, 39, 29, 53, 55, 67, 24, 62, 31, 60, 45, 17, 35, 49, 22
A. 29B. 58C. 62D. 61
Best-Fit Lines
14. A researcher made the following graph showing the number of hours per day that people spend on the computer versus the number of pounds that they are overweight.
Predict the number of pounds overweight someone would be if they spent 9 hours per day using a computer. A. 50B. 65C. 35D. 55
Data Displays and Analysis
15. Mary measured the height of 16 tenth graders at a local high school. Below is a stem-and-leaf plot of her data, which is in inches.
stem leaf5 7 8 8 8 96 2 4 4 7 8 8 97 1 2 3 3
What is the mean of Mary's data rounded to the nearest tenth? A. 68.3 inB. 5.8 inC. 73 inD. 65.1 in
Best-Fit Lines
16. Crystal's grandmother planted a tree on the farm in 1920. She measured the tree trunk's diameter every 10 years and recorded the measurements. The scatter plot below shows the progress of the diameter. (The year 1930 is equivalent to 10 on the graph.)
y = 0.507x + 5.543
Looking at the line of best fit equation shown below the graph, what will be the approximate diameter of the tree in 2010?
A. 45.63 inB. 56.243 inC. 51.173 inD. 46.103 in
Data Displays and Analysis
17.
Nancy went on a diet over an eight week period. She recorded her weight each week. Which of the following is the closest to the range of her weights?
A. 38 lbsB. 53 lbsC. 28 lbsD. 48 lbs
Data Displays and Analysis
18.
A company made a bar graph showing the amount of sales for each month in thousands of dollars. Which of the following is closest to the median amount of sales for the four-month period?
A. $5,500B. $7,250C. $6,250D. $5,250
Measures of Dispersion & Central Tendency
19. What is the mode of the following set of numbers?
142.5, 51, 44.6, 142.5, 51, 165, 142.5, 35.7, 35.7
A. 142.5B. 35.7C. 51D. 165
Probability - Compound Events
20. Bobby is taking a multiple-choice history test. He has decided to randomly guess on the first two questions. On each question there are 4 answer choices. What is the probability that he answers the first question incorrectly and the second question incorrectly?
A.
B.
C.
D.
Probability - Compound Events
21. Bob has a coin cup with four $1 tokens and two $5 tokens in it. He also has two $10 tokens and one $25 token in his pocket. He randomly draws a token from the cup, and then randomly draws a token from his pocket. What is the probability that he will draw $11 in tokens?
A.
B.
C.
D.
Data Displays and Analysis
22.
26, 17, 33, 12, 19, 15, 22, 8, 10
Which of the box-and-whisker plots below represents the data set above?
W. X.
Y. Z.A. YB. XC. ZD. W
Best-Fit Lines
23.
The graph above shows a line of best fit for data collected on the amount of water bills in relation to the number of gallons of water used. What is the equation of the line of best fit?
A.
B.
C.
D.
Best-Fit Lines
24. A small theme park is trying to determine the number of guests they should expect on a weekend, based on the temperature outside.
Based on the trend line, about how many guests should be expected if the temperature is around 80°? A. 8B. 8,300C. 9,300D. 7,300
Best-Fit Lines
25.
The graph above shows a line of best fit for data collected on the output of factories in relation to the number of production hours. What is the equation of the line of best fit?
A.
B.
C.
D.
Best-Fit Lines
26. Which scatterplot most likely has a line of best fit represented by y = 2x + 1?
W. X.
Y. Z.
A. ZB. XC. WD. Y
Best-Fit Lines
27.
Jeremy has to clean up his little brother's toys. He graphed how many minutes it took him to clean up and how many toys his little brother got out. What is the equation of the line of best fit above?
A.
B.
C.
D.
Data Displays and Analysis
28. Mr. Snowdon posted the final exam grades for Algebra II in the hallway as soon as the tests were graded. The data is represented on the box plot below.
Which set of data below represents the interquartile range and the minimum, in that order? A. 22, 64B. 44, 89C. 28, 64D. 77, 92
Measures of Dispersion & Central Tendency
29. The points scored by Melissa in eleven basketball games are listed below.
18, 13, 25, 31, 27, 18, 20, 23, 16, 11, 18
What is the interquartile range of the scores? A. 16B. 20C. 9D. 25
Probability - Compound Events
30. The following balls are placed in an urn: 5 red, 3 yellow, 6 blue, and 4 green. One ball is randomly drawn from the urn. What is the probability that the ball is either yellow or green?
A.
B.
C.
D.
Answers1. D 2. B 3. C 4. C 5. C
6. E 7. D 8. D 9. C 10. A 11. A 12. B 13. A 14. A 15. D 16. C 17. A 18. C 19. A 20. A 21. A 22. C 23. A 24. B 25. A 26. A 27. A 28. A 29. C 30. C