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Chapter 2: Q. 69 (page 137)

The following data are the distances between 20 retail stores and a large distribution center. The distances are in miles. 29;37;38;40;58;67;68;69;76;86;87;95;96;96;99;106;112;127;145;150Use a graphing calculator or computer to find the standard deviation and round to the nearest tenth.

Short Answer

Expert verified

Standarddeviation=34.5

Step by step solution

01

Content Introduction

A "typical" divergence from the mean is indicated by the standard deviation. Because it returns to the data set's original units of measure, it's a common measure of variability.

02

Content Explanation

We are given set of values:

29;37;38;40;58;67;68;69;76;86;87;95;96;96;99;106;112;127;145;150

The total number of values are 20

Let us first find out mean.

Mean=x鈫�=鈭�i=1nxin

here, n=20

x鈫�=鈭�i=1nxinx鈬赌=鈭�i=1n(29+37+38+40+58+67+68+69+76+86+87+95+96+96+99+106+112+127+145+150)20x鈬赌=84.05

Standard deviation is

s=鈭�i=1n(xi-x鈬赌)2n-1s=22636.9519s=34.5

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