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Chapter 6: Q. 17 (page 287)

State the empirical rule for variables.

Short Answer

Expert verified

The empirical rule for variables:

About 99.7%of all possible observations lie here.

About 95%of all possible observations lie here.

About68%of all possible observations lie here.

Step by step solution

01

Concept Introduction

Empirical rule is useful because it indicates the intervals or numbers which indicates the percent area lies between them. It is useful because it give us idea about the percentage of the data between the two points approximately.

02

Explanation

A proper empirical rule indicates that approximately 68.5%of values lie in the interval.

A proper empirical rule indicates that approximately 95.5%of values lie in the interval.

By a proper empirical rule, approximately 99.7%of values are in the interval.

The curve is as follows:

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