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Variation handout 2011

# Variation handout 2011 - Index of qualitative variation IQV...

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1 Index of qualitative variation IQV IQV = K (100 2 - Σ f 2 ) 100 2 (K-1) K = the number of categories Σ f 2 = the sum of all squared frequencies or percentages #1 pg 162 6 th edition Political Views Percent Percent Squared Extremely Liberal 3.6 12.96 Liberal 12.2 148.84 Slightly Liberal 12.0 144 Moderate 38.0 1444 Slightly Conservative 14.1 198.81 Conservative 16.8 282.24 Extremely Conservative 3.3 10.89 Total 100.00 2241.74 Sum of Percents Squared Insert 2241.74 into formula above IQV=0.91 Close to 1.00 therefore political views are diverse.

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2 Calculating IQR, Variance and Standard Deviation IQR is the distance between the values at the 25 th percentile and the 75 th Percentile. Rank order your data. Locate the value for the case that marks the 25 th percentile (Q1) and the value that marks the 75 th percentile (Q3). Subtract to calculate the distance Q3-Q1= IQR Standard deviation is the square root of the Variance. The formula for the Variance is: The formula for Standard Deviation is: Examples using age data for two classes. This is raw data, not a frequency table.
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Variation handout 2011 - Index of qualitative variation IQV...

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