Differentiate between range and standard deviation with examples.

Question

13 Jul 2023

Answer :

Word Count : 570

Range and standard deviation are both measures of variability or dispersion in a dataset, but they provide different insights into the spread of the data. Let's explore each of these concepts and differentiate between them with examples.

1. Range:
The range is a simple measure of dispersion that represents the difference between the maximum and minimum values in a dataset. It is the most basic measure of spread and provides a quick understanding of how much the data values vary from the lowest to the highest.

Mathematically, the range is calculated as:
Range = Maximum value - Minimum value

Example:
Consider the following dataset representing the ages of a group of individuals (in years):

{20, 25, 30, 35, 40}

To find the range, we first identify the maximum and minimum values:

Maximum value = 40
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