Name: ______Date: ______Period: ______

Review: Data Analysis

Describe the association, if any, among the data observed.

1.

2.

3.

4. Describe a real world situation that might represent the scatterplot below.

5. Draw a scatterplot for the values that are in the table below.

X / 1 / 1 / 2 / 2 / 2.5 / 2.5 / 4 / 4 / 6
y / 3.9 / 6.3 / 3.4 / 5.1 / 1.4 / 8.5 / 8.7 / 1.3 / 7.9

6. Draw a scatterplot for the values that are in the table below.

X / 1 / 1 / 2 / 2 / 2.5 / 2.5 / 4 / 4 / 6
y / 3.9 / 3.1 / 5.3 / 8.4 / 9.4 / 7.1 / 1.1 / 9.3 / 4.9

Use the scatterplot below for questions 7 & 8.

7. The scatterplot shows the relationship between the time spent learning a piece of music for the guitar and the score at the annual solo competition. Predict the score for 3 weeks of practice.

8. The scatterplot shows the relationship between the time spent learning a piece of music for the guitar and the score at the annual solo competition. Predict the score for 15 weeks of practice.

9. Every fifth student walking down the hallway was asked to name his or her favorite subject.
Of 260 students surveyed, 195 students said “Math.” What type of sample was used? Is it

valid to conclude that about 75% of all students in the school like Math? Justify your answer.

10. Stacy surveyed her basketball team about their favorite method of exercise. Her data is shown in the table below.

Exercises / Number of Students
Running / 6
Weight Lifting / 6
Swimming / 1
Yoga / 2

Stacy concluded that at her school, about three times as many students like to run as to doing yoga. Is her conclusion valid or invalid? Explain.

11. Teddy is going to conduct a school survey to determine which hats the students like best. Which representation is a good representation of his schools student population?

a. survey all students in the drama club

b. survey every third person entering Target

c. survey students who only play sports

d. survey ¼ of the student body randomly drawing their names.

12. Which sample is the best representation of a schools entire population? Circle all that apply.

a. all the students the surveyor can find at a food court in a shopping mall

b. every 7th person leaving a school wide assembly

c. 1 of every 4 students in the math club

d. randomly select students during lunches

13. What does the mean absolute deviation of a set of data represent?

14. Find the mean absolute deviation for the date in the table below. Round to the nearest tenth if necessary.

15. Find the mean absolute deviation for the data in the table below. Round to the nearest tenth.

16. Determine the mean absolute deviation. Round to the nearest hundredth.

17. The table shows the number of wins of each school baseball team over the last six years. Determine the mean absolute deviation for each set of data. Round to the nearest hundredth if necessary. Then write a few sentences comparing their variation.

a. Bears: 10.2; Saints: 12.8; Sample answer: The mean absolute deviation of the number of wins is greater for the Bears than for the Saints. The data values for the Saints are closer together.

b. Bears: 10.2; Saints: 12.8; Sample answer: The mean absolute deviation of the number of wins is greater for the Saints than for the Bears. The data values for the Bears are closer together.

c. Bears: 1.84; Saints: 1.44; Sample answer: The mean absolute deviation of the number of wins is greater for the Bears than for the Saints. The data values for the Saints are closer together.

d. Bears: 1.44; Saints: 1.84; Sample answer: The mean absolute deviation of the number of wins is greater for the Saints than for the Bears. The data values for the Bears are closer together.

18. Find the mean, median, mode and range for the data below.

19. Find the mean, median, mode and range for the data below.

Use the scatterplot below to answer questions 20 - 22.

20. Write an equation in slope-intercept form for the trend line.

21. Make a prediction about the number of fitness center members in the year 2015.

22. At what year were there about 105 members?