Name _______________________

8.1. Measures of Central Tendency

Analyze each data set.

1. Find the mean, median, mode, and range for the following data set:

2. The weekly paychecks for ten part-time employees are: $140, $132, $200, $150, $175, $200, $180, $95, $145, and $155. Find the mean, median, and range for the paychecks.

3. The data set below depicts the number of points LeBron James scored in the last five NBA games. Find the mean, median, mode, and range for the points scored.

4. The scores that Marc earned on his math quizzes were 78%, 85%, 88%, 88%, and 90%. What is the mean, mead, mode and range of Marc's math quizzes?

5. Henry has the following World History scores: 88, 76, 97, 84.

(a) What would Henry need to score on his fifth test to have an average of 86?

(b) Explain why it is not possible for Henry to have an average of 93 after his fifth score.

6. The mean of nine numbers is 105. What is the sum of the numbers?

7. The table below depicts the amount of calories in various fast food choices. Which measure of the data (mean or median) will prove most reliable?

8. Describe a situation where a mean would be the best way to analyze data.

9. Describe a situation where the range would be the best way to analyze data.

Use the following set of data for questions 10-13.

12, 13, 15, 17, 21, 22, 24, 26, 28, 30, 31

10. Create a box-and-whisker plot.

11. What is the median of the set of data?

12. What is the median of the lower quartile?

13. What is the median of the upper quartile?

The list below depicts the final score each basketball game for an entire season. Use the list for questions 14-17.

14. Use the data to create a stem-and-leaf plot.

15. Use the data to determine the mean.

16. Use the data to determine the median.

17. Use the data to determine the range.