# Statistics

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1. For the following exercise, complete the following by using the data sets below that provides the ages of the first seven presidents:

a. Find the mean, median, and range for each of the two data sets.

First 7: The mean is 58.3
The median is 57
The range is 4

Second 7: The mean is 56.1
The median is 64
The range is 23

b. Find the standard deviation using the range rule of thumb for each of the data sets. Please show your work. (Please see Chapter 4, Section 4.3, page 173 of the text).

low value ¡Ö mean ¨C (2 ¡Á range/4)
high value ¡Ö mean + (2 ¡Á range/4)

First 7:
Low value ¡Ö 58.3 ¨C (2 ¡Á 4/4) ¡Ö 58.3-(2¡Á1) ¡Ö58.3-2¡Ö56.3
High value ¡Ö 58.3 + (2 ¡Á 4/4) ¡Ö58.3+ (2¡Á1) ¡Ö 58.3+2¡Ö60.3

Second 7:
Low value ¡Ö 56.1 ¨C (2 ¡Á 23/4) ¡Ö56.1-(2¡Á5.75) ¡Ö 56.1- 11.5¡Ö44.6
High value ¡Ö 56.1 + (2 ¡Á 23/4) ¡Ö 56.1+(2¡Á5.75) ¡Ö56.1+11.5¡Ö67.6

c. Compare the two sets and describe what you discover.

The following data sets shows the ages of the first seven presidents (President Washington through President Jackson) and the seven most recent presidents including President Obama. Age is given at time of inauguration.

First 7: 57 61 57 57 58 57 61

Second 7: 61 52 69 64 46 54 47
I am not sure if these answers are right and how to compare and describe the information?

• Statistics -

a. is right except second 7 median = 54. (typo?)

b. I am not sure what your symbols mean, so I cannot comment.

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