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. $29; 37; 38; 40; 58; 67; 68; 69; 76; 86; 87; 95; 96; 96; 99; 106; 112; 127; 145; 150$ Use a graphing calculator or computer to find the standard deviation and round to the nearest tenth.

Short Answer

Expert verified

$S \tan d a r d d e v i a t i o n = 34.5$

Step by step solution

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.

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.

$M e a n = \vec{x} = \frac{\sum_{i = 1}^{n} x_{i}}{n}$

here, $n = 20$

$\vec{x} = \frac{\sum_{i = 1}^{n} x_{i}}{n} \overset{⇀}{x} = \frac{\sum_{i = 1}^{n} (29 + 37 + 38 + 40 + 58 + 67 + 68 + 69 + 76 + 86 + 87 + 95 + 96 + 96 + 99 + 106 + 112 + 127 + 145 + 150)}{20} \overset{⇀}{x} = 84.05$

Standard deviation is

$s = \sqrt{\frac{\sum_{i = 1}^{n} {(x_{i} - \overset{⇀}{x})}^{2}}{n - 1}} s = \sqrt{\frac{22636.95}{19}} s = 34.5$

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Short Answer

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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

Step by step solution

Content Introduction

Content Explanation

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Discrete Mathematics

Statistics

Mechanics Maths

Calculus

Logic and Functions

Decision Maths

Study anywhere. Anytime. Across all devices.