Sunday, September 14, 2014

VARIANCE - Descriptive Statistics using Microsoft Excel Statistical Functions - Measure of Dispersion

The practice sheet can be downloaded from Link. Statistics Marks Data - Download Sheet

About the Data Sheet - The data in this sheet is related to marks scored by 100 Students in a Statistical Test. 

Based on the data, we will use Microsoft Excel Statistical functions to analyse the descriptive statistics. 

In the Data Sheet, we have Data from A2:A101, A1 being the header of the Data. 

Variance
Variance 2) is a measure of the dispersion of a set of data points around their mean value.
In other words, variance is a mathematical expectation of the average squared deviations from the mean.
Variance measures the variability from an average (volatility).

=VAR(number1,[number2],...])

VAR uses the following formula:


where x is the sample mean AVERAGE(number1,number2,…) and n is the sample size.

In the Data Sheet, we have Data from A2:A101, A1 being the header of the Data. 

=VAR(A2:A101)
Result is 202.7777

VAR.P is for Population
VAR.S is for Sample.

Higher the variance the more the volatility or values are more different.
Lower the variance the lesser the volatility or values are less different. 

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