week of 4-13 through 4-16 assignments tues thru … › uploads › 9 › 3 › 1 › 8 › 93188884...

Week of 4-13 through 4-16 assignments Tues thru Mon

The following are just supplemental notes from the assignments on EdPuzzle. They are being provided for

specialized/direct instruction if you are unable to participate in online lessons or if you need step-by-step directions (or a

road map) of what to do first, next, etc. These are typed notes from the videos on EdPuzzle.

If you are unable to use EdPuzzle, focus on completing the assigned MSG pages and send photos of your completed

work via email to your teacher(s).

Learning is truly the goal right now, so focus on really learning the material and not on the grades.

ASSIGNMENT 1:

Here are the notes from a video on EdPuzzle.

This video is a REVIEW of box plots.

Remember:

- The lowest value that is plotted on the graph/box plot (not the lowest number on the number line) is the minimum value (also known as the Lower Extreme).

- The highest value that is plotted on the graph/box plot (not the highest number on the number line) is the maximum value (also known as the Upper Extreme).

- From the minimum to Quartile 1 (also known as the lower quartile), 25% of the data is represented.

- From Quartile 1 (lower quartile) to Quartile 2 (also known as the median), 25% of the data is represented.

- From Quartile 2 (median) to Quartile 3 (also known as the upper quartile), 25% of the data is represented.

- From Quartile 3 (upper quartile) to the maximum, 25% of the data is represented.

- The box (from quartile 1 to quartile 3) is the interquartile range (IQR) and represents the middle 50% of the data.

- Range is calculated: Maximum – Minimum = Range

- Interquartile Range (IQR) is calculated: Q3 – Q1 = IQR

Here is a photo from the video:

In the box plot above:

- The minimum value is 50.

- The maximum value is 100.

- The median value (Q2) is between 78 and 80, so the median value is 79.

- The upper quartile (Q3) is between 86 and 88, so the Q3 value is 87.

- The lower quartile (Q1) is between 68 and 70, so the Q1 value is 69.

Read the next graph and answer the questions.


Here are the questions about the box plot above:

1. What was the high score on the test?

TYPE YOUR ANSWER in to EdPuzzle if you are able.

The maximum value that is plotted on the box plot is 102.

2. What percent of the class scored above a 72?


There are 3 sections, or quartiles, included in this answer. So, 75% of the class scored above a 72.

3. What was the median score on the test?


The middle of value (Q2) in the box plot is 88.

4. What percent of the class scored between 88 and 96?


The data between 88 and 96 only spans one quartile, so 25% of the class scored between 88 and 96.

5. Do you think that this test was too hard for the students? Explain.


No, this test was not too hard for the students. Half of the class scored 88 or higher! 75% of the students scored above a 72.

6. Would you expect the mean to be above or below the median? Explain.

You would expect the mean to be below the median because the score of 38 makes the data skewed to the left.




7. What percent of the sophomores spend more than 60 minutes on homework per night?


There is only one section, or quartile, included in this answer. So, 25% of the students spend more than 60 minutes on homework per night.

8. What is the range of times that the middle 50% of the sophomores spend on homework per night?


The box, which represents the middle 50% of the data, covers from 20 to 60, which spans 40 minutes. So the middle 50% (or IQR) is 60 – 20 = 40 minutes.

9. How many sophomores do not do any homework?


There is no way to know that because we do not have the list of data. However, the minimum is 0, so there is at least one student who does not do homework.

10. What percent of the sophomores spend less than 20 minutes per night on homework?


There is only one section, or quartile, included in this answer. So, 25% of students spend less than 20 minutes per night on homework.

11. Would you expect the mean number of minutes per night to be higher or lower than the median? Explain.

The median (Q2) is 48. Because the value 190 skews the data to the right, I would expect the mean to be higher than the median.




12. What percent of the sophomores watch TV for at least 15 minutes per night?


There are two box plots, so BE SURE TO LOOK AT THE TV TIME BOX PLOT. There are three sections, or quartiles, included in this answer. So, 75% of the students watch TV for at least 15 minutes per night.

13. What is the 3rd quartile for the TV time data?


The 3rd quartile is 110 minutes.

14. Is it more common for a sophomore at this high school to spend more than 1 hour on homework or more than 1 hour watching TV? Explain.

It is more common for a sophomore at this school to spend more than 1 hour on watching TV . 50% of students fall into this category. Only 25% of students spend more than 1 hour on homework.




Identify if each statement is true, false, or cannot be determined.

15. Some sophomores didn’t watch TV that month. True, False, or Cannot be determined?


This statement is true. The minimum number is 0, so at least one student didn’t watch any TV.

16. The TV box & whisker graph contains more data than the homework graph. True, False, or Cannot be determined?


This statement is false. It is still the same amount of data. The homework time data is more condensed together than(not as spread out as) the TV time.

17. 25% of the sophomores spend between 48 & 60 minutes per night on homework. True, False, or Cannot be determined?


This answer is true. There is only one section, or quartile, included in this answer. Each quartile represents 25%. Therefore, this is a true statement.

18. 15% of the sophomores didn’t watch TV that month. True, False, or Cannot be determined?


This statement is false. It is never 15% when dealing with box plots. We are working with quartiles, which are in 25% increments.

19. In general, these sophomores spend more time watching TV than doing homework. True, False, or Cannot be determined?


This statement is true. Half of the students (50%) spend more than an hour per night watching TV compared to only 25% of students spending more than one hour per night on homework. Also note that the median of the TV time is higher than the median of the homework time, which indicates that the students spend more time watching TV than doing homework.

20. The TV data is more varied than the homework data. True, False, or Cannot be determined?

This statement is true. The range is larger for the TV time than the range of the homework time. Also, the box and whisker plot for the TV time is more spread out/larger than the one for the homework time.

21. The ratio of sophomores who spend more than 110 minutes per night watching TV to those who spend less is about 2:1. True, False, or Cannot be determined?


This answer is false. The percentage of students who spend more than 110 minutes per night watching TV is 25%. The percentage of students who spend less than 110 minutes per night watching TV is 75%. Therefore, the ratio for that would be 25:75, simplified to 1:3.

22. 225 sophomores watch TV. True, False, or Cannot be determined?


This answer cannot be determined. We don’t know how many sophomores were in this group. 225 minutes is the most time any of the students spent watching TV.

23. Twice as many sophomores watch TV for more than 1 hour than do homework for more than 1 hour. True, False, or Cannot be determined?


This answer is true. 50% of the students watch TV for more than 1 hour compared to 25% of the students who do homework for more than 1 hour. This ratio would be 2:1 . Therefore, twice as many students watch TV for more than 1 hour than do homework for more than 1 hour.

ASSIGNMENT 2:

Here are the notes from a video on EdPuzzle.

This will cover Box Plots, Dot Plots, and Histograms. This will be kind of like a quiz, so do the best you can on this!

The first 8 questions are on box plots.

Remember:

- The lowest value that is plotted on the graph/box plot (not the lowest number on the number line) is the minimum value (also known as the Lower Extreme).

- The highest value that is plotted on the graph/box plot (not the highest number on the number line) is the maximum value (also known as the Upper Extreme).

- From the minimum to Quartile 1 (also known as the lower quartile), 25% of the data is represented.

- From Quartile 1 (lower quartile) to Quartile 2 (also known as the median), 25% of the data is represented.

- From Quartile 2 (median) to Quartile 3 (also known as the upper quartile), 25% of the data is represented.

- From Quartile 3 (upper quartile) to the maximum, 25% of the data is represented.

- The box (from quartile 1 to quartile 3) is the interquartile range (IQR) and represents the midd le 50% of the data.


1. What do the points labeled B and D represent on the box plot?

A. Mean and mode

B. Mean and median

C. Lease and greatest value

D. Lower and upper quartile



The answer is D. Points B and D represent the lower and upper quartiles.

2. What does the point labeled C represent on the box plot?

A. Mean

B. Median

C. Mode

D. Range



Point C represents the Median, so the answer is B.

3. What do the points labeled A and E represent on the box plot?

A. Mean and mode

B. Mean and median

C. Least and greatest value

D. Lower and upper extreme



Points A and E represent the least and greatest value (or lower and upper extremes), so the answer is C.

4. What does the length of the box tell you about the data set?

A. How many quartiles the box plot has.

B. How many data points are in the data set.

C. How close or far apart the data is grouped.

D. How many times a certain data value occurs.



Hopefully, you answered C.

5. What is the median of the data set?

A. 8

B. 12

C. 15

D. 19



The median is represented in the box and whisker plot at the number 12, so the answer is B.

6. What is the least and greatest value of the data set?

A. 6 and 8

B. 6 and 19

C. 8 na d 15

D. 15 and 19



Hopefully, you recognize that the least value is 6 and the greatest value is 19. Therefore, the answer is B.

7. What is the range of the data set?

A. 6

B. 12

C. 13

D. 19



The range is calculated: Maximum – Minimum = Range. In this box plot, the maximum is 19 and the minimum is 6. 19 – 6 = 13. Therefore, the answer is C.

8. Data points in the first quartile are between which two points?

A. 6 and 8

B. 8 and 12

C. 12 and 15

D. 15 and 19



The whisker from 6 to 8 represents the first quartile. Therefore, the answer is A.

Now we are going to talk about Histograms.

9. The annual amount of rainfall for 25 cities was recorded and is shown in the histogram below.

How many intervals could represent an annual rainfall of 30 inches – 36 inches?

A. 2

B. 4

C. 3

D. 5



There are 3 intervals in the graph that represent annual rainfall of 30 – 36 inches. Therefore, the answer is C.

10. The annual amount of rainfall for 25 cities was recorded and is shown in the histogram below.

How many cities could have an annual rainfall of 28.5 inches – 32.5 inches?

A. 6

B. 9

C. 8

D. 12



There are 3 intervals covered in this answer. 28 – 30 has 2 cities. 30 – 32 has 4 cities. 32 – 34 has 6 cities. 2 + 4 + 6 = 12. Therefore, the answer is D.

11. The histogram below shows the scores for Mrs. Smith’s first block class at Red Rock Middle School .

If an 85 is the lowest score a student can earn to receive a B, bow many students received at least a B?

A. 4

B. 10

C. 6

D. 15



Two intervals cover the answer to this question. 85 – 92 has 6 students. 93 – 100 has 4 students. 6 + 4 = 10. Therefore, the answer is B.

12. Cosmic, Inc. is a software company with 30 employees. The ages of the employees are displayed in the histogram.

How old is the youngest employee?

A. 10

B. 15

C. 19

D. Cannot be determined



In a histogram, we are not given the set of data or the minimum value. We only have ranges of ages. Therefore, this cannot de determined from the graph and the answer is D.

Now, we will look at Line Plots (or Dot Plots).

We will look at an example first.


This line plot shows the number of raisins in each muffin.

First, you must take the data from the line plot and put it in order. The data in order for this problem is:

3, 3, 4, 4, 4, 4, 5, 6, 7, 10

1. What is the median?

There are two middle numbers in this data 3, 3, 4, 4, 4, 4, 5, 6, 7, 10

The median is between these 2 4s. If I add 4 + 4 = 8. Then divide by 2. 8 divided by 2 is 4. Therefore, the median is 4.

2. What is the mean?

To find the mean, you must add up all of the numbers, then divide by the number of addends. For this problem, 3 + 3 + 4 + 4 + 4 + 4 + 5 + 6 + 7 + 10 = 43 Then 43 divided by 10 (because there are 10 numbers in the set of data) = 4.3. So, the mean is 4.3

3. What is the mode?

The number that appears the most times in the set of data is 4. Therefore , the mode is 4.

4. What is the outlier?

There is just one number that is FAR AWAY from the rest of the data. That number is 10. The outlier is 10.

13. This line plot shows the number of students of each age in Linda’s reading group.


a. What is the median?


Once your data is in order (6, 8, 8, 8, 8, 8, 9, 9), there are two middle numbers in this set.

6, 8, 8, 8, 8, 8, 9, 9 When there are two middle numbers, you must find the mean of those two numbers to find the median. 8 + 8 = 16. 16 divided by 2 = 8. Therefore, the median is 8.

b. What is the mean?


To find the mean, you must add up all of the numbers in the set, then divide by the number of addends. In this problem, 6 + 8 + 8 + 8 + 8 +8 + 9 + 9 = 64 Then 64 divided by 8 (there are 8 numbers in the set of data) = 8 The mean is 8.

c. What is the mode?


The number that occurs most often in this set of data is 8. The mode is 8.

d. What is the outlier?


There is no outlier. There is no piece of data that is FAR AWAY from the rest of the data.

14. This line plot shows the number of hours each student does homework.


a. What is the median?


Once your data is in order (0, 1, 1, 1, 1, 2, 3, 3, 3, 6), there are two middle numbers in this set. 0, 1, 1, 1, 1, 2, 3, 3, 3, 6 When there are two middle numbers, you must find the mean of those two numbers to find the median. 1 + 2 = 3. 3 divided by 2 = 1.5. Therefore, the median is 1.5

b. What is the mean?


To find the mean, you must add up all of the numbers in the set, then divide by the number of addends. In this problem, 0 + 1 + 1 + 1 + 1 + 2 + 3 + 3 +3 + 6 = 21 Then 21 divided by 10 (there are 10 numbers in the set of data) = 2.1 The mean is 2.1

c. What is the mode?


The number that occurs most often in this set of data is 1. The mode is 1.

d. What is the outlier?


There is one number that is FAR AWAY from the rest of the data. That number is 6. The outlier is 6.

week of 4-13 through 4-16 assignments tues thru … › uploads › 9 › 3 › 1 › 8 › 93188884...

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