Q. 70 The following data are the dista... [FREE SOLUTION]

91影视

Introductory Statistics

Barbara Illowsky, Susan Dean

$Math Studyset 91影视 Explanations$ Math

OER 2018 Edition 路 902 pages

ISBN: 9781938168208

Chapter 2: Q. 70 (page 138)

The following data are the distances between 20 retail stores and a large distribution center. The distances are in miles. $29; 37; 38; 40; 58; 67; 68; 69; 76; 86; 87; 95; 96; 96; 99; 106; 112; 127; 145; 150$
Find the value that is one standard deviation below the mean.

Short Answer

Expert verified

The value that is one standard deviation below the mean is $- 49.55$

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 have calculated,

Mean as,

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

Standard deviation as

$s = \sqrt{\frac{{鈭�}_{i = 1}^{n} {(x_{i} - \overset{鈬赌}{x})}^{2}}{n - 1}} s = \sqrt{\frac{22636.95}{19}} s = 34.5$

Therefore, to obtain the score that is one standard deviation below the mean, subtract the standard deviation from the mean.

So, $S \tan d a r d d e v i a t i o n - M e a n 34.5 - 84.05 = - 49.55$

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91影视

The following data are the distances between 20 retail stores and a large distribution center. The distances are in miles. $29; 37; 38; 40; 58; 67; 68; 69; 76; 86; 87; 95; 96; 96; 99; 106; 112; 127; 145; 150$
Find the value that is one standard deviation below the mean.

Short Answer

Step by step solution

Content Introduction

Content Explanation

One App. One Place for Learning.

Most popular questions from this chapter

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91影视

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;150Find the value that is one standard deviation below the mean.

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

Applied Mathematics

Discrete Mathematics

Decision Maths

Geometry

Statistics

Logic and Functions

Study anywhere. Anytime. Across all devices.

The following data are the distances between 20 retail stores and a large distribution center. The distances are in miles. $29; 37; 38; 40; 58; 67; 68; 69; 76; 86; 87; 95; 96; 96; 99; 106; 112; 127; 145; 150$
Find the value that is one standard deviation below the mean.