Measures Of Dispersion
Chapter Name : Statistics |
Sub Topic Code : 104_11_15_02_01 |
Topic Name : Measures Of Dispersion |
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Sub Topic Name : Measures Of Dispersion |
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Introduction
• Statistics deals with data collected for specific purposes. • A measure of central tendency gives idea where data is centred. • In order to have better data interpretation we should know how data is scattered and this measure is known as Measure of Dispersion.
Pre-Requisites:
• Knowledge of representing data graphically and in tabular form. • Knowledge of measure of central tendency of data.
Activity:
You will observe even if mean and median are equal the data spread will be different in two graphs. This is known as Measure of Dispersion.
Real Life Question:
How economic disparity of a certain country is calculated?
Key Words / FlashCards
| Key Words | Definitions (pref. in our own words) |
|---|---|
| Statistics | Statistics is a method of gathering, analyzing and making conclusions from data. |
| Measure of Dispersion | Measure of dispersion is describing spread of data. |
Learning aids / Gadgets
| Gadgets | How it can be used |
|---|---|
| Graph paper | Collect data of runs of two different batsmen and calculate mean and median. If mean and median of runs of two batsmen is equal then check for spread of data. |
Real life uses :
Measure of dispersion is important in prices of commodities, wages of workers, population growth, and economic disparity.
Places to visit :
Look for two maximum used commodities in your house and make two data sets. Can you find which commodity is used more by measuring dispersion of data?
Practical examples around us
| Examples | Explainations |
|---|---|
| Wages of workers | If consistency is not maintained in wages of workers then there will be unrest among low paid workers. If there is large measure of dispersion in wages then consistency will not be maintained. So measure of dispersion is important in knowing the variance in data. |
What you learn in Theory:
In order to have better data interpretation, measure of dispersion is required.
What you learn in Practice:
If mean and median of runs scored by two batsmen are equal we cannot say their performance is same. We need a variable factor called measure of dispersion for knowing the performance.