Measures of Central Tendency

Name: ______Date: ______Period: _____

Measures of Central Tendency

1.  Refer to the cartoon at the right. Which measure of central tendency would make opponents believe that the height of the team is taller than it really is?

2.  Which measure of central tendency best summarizes the following test scores? Explain. 97, 99, 95, 89, 99, 100, 87, 85, 89, 92, 96, 95, 60, 97, 85

3.  The graph shows the mean and median salaries of baseball players from 1983 to 2000. Explain why the mean is so much greater than the median.

4.  A real estate guide lists the “average” home prices for counties in your state. Do you think the mean, median, or mode would be the most useful average for home buyers. Explain.

5.  If 18 were added to the following data set, which statement is true? 16, 14, 22, 16, 16, 18, 15, 25

A.  The median decreases

B.  The mean decreases

C.  The mean increases

D.  The median increases

6.  Jonelle’s tips as a waitress are shown in the table. On Friday, her tips were $74. Which measure of central tendency will change the most as a result?

A.  Mean B. Median C. Mode D. No measure

Box-and-Whisker Plots

7.  Refer to the Math Quiz Scores box-and-whisker plot.

A.  What is the highest quiz score?

B.  What percent of students scored between 80 and 96?

C.  Based on the plot, how did the students’ scores vary?

8.  The number of games won by the teams in each conference of the National Football League is displayed below. Compare the data using the five critical points.

9.  Refer to the Wind Speed box-and-whisker plot.

A.  What is the least highest wind speed?

B.  What percent of the wind speeds range from 40 to 70 mph?

10.  Write a set of data that contains 12 values for which the box-and-whisker plot has no whiskers.

Determine whether any outliers exist for each data set.

11.  67, 75, 89, 72, 56, 65, 70

12.  27, 30, 36, 35, 37, 46, 31, 4, 29, 28, 30