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Q. 33

Introductory Statistics
Found in: Page 386
Introductory Statistics

Introductory Statistics

Book edition OER 2018
Author(s) Barbara Illowsky, Susan Dean
Pages 902 pages
ISBN 9781938168208

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Short Answer

About what percent of x values lie between the second and third standard deviations (both sides)?

Approximately 4.7% of x values lies between the second and third standard deviation

See the step by step solution

Step by Step Solution

Step 1: Concept Introduction

The empirical rule additionally alluded to as the three-sigma rule or 68-95-99.7 rule, is a factual decision that expresses that for a normal distribution, practically totally noticed information will fall inside three standard deviations of the mean or normal .

Step 2: Explanation 

The Empirical Rule expresses that 99.7%of information noticed observing an normal distribution exists in 3 standard deviations of the mean. Under this standard, 68% of the information falls inside one standard deviation, 95%percent inside two standard deviations, and 99.7% inside three standard deviations from the mean.

Therefore, the percentage of x values from normal distribution lie between second and third standard deviation will be:


localid="1648289831679" =4.7%

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