MAT 142 Problem set

Unit: Statistics

Topic: Measures of Dispersion

Directions: Solve the following problems. Please show your work, use proper notation and explain your

reasoning.

1. Consider the following table of the ages of our first six presidents

Ages of the first 6 presidents at inauguration

Washington 57

J. Adams61

Jefferson 57

Madison 57

Monroe 58

JQ Adams 57

a. Find the mean of the data set

b. Find the standard deviation (showing all work)

c. How many of the presidents ages fall within one standard deviation of the mean?

1. Consider the following table of the ages of our last six presidents

Ages of the last 6 presidents at inauguration

Carter 52

Reagan 69

G. Bush 64

Clinton 46

GW Bush 54

Obama 47

a. Find the mean of the data set

b. Find the standard deviation (showing all work)

c. How many of the presidents ages fall within one standard deviation of the mean?

1. Consider the standard deviations you found in parts (1) and (2). Which standard deviation

indicates more variation in the data set? Justify your answer.