Q. 17 - Elementary Statistics

Question

State the empirical rule for variables.

Step-by-Step Solution

Answer

The empirical rule for variables:

About $99.7\%$of all possible observations lie here.

About $95\%$ of all possible observations lie here.

About $68\%$of all possible observations lie here.

Step 1: 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.

Step 2: 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: