Question

To understand the variation in political party affiliation, calculate the Index of Qualitative Variation (IQV) for Whites, African Americans and Latinos. (6 pts)

Compared to the whites, do the other two groups (Latinos and African Americans) present higher variability in political party affiliation? (2 pts)

(HINT: K=4)

Political Party Affiliation	White (%)	African American (%)	Latino (%)
Republican	59	41	43
Democrat	30	56	46
Libertarian	3	1	2
Independent	8	2	8
Total	100	100	100

Answer 1

Index of Qualitative Variation (IQV) :

K= Number of categories = 4  

[K=4 as there are 4 categories of political party affiliation: republican,democrat,libertarian,independent]

= Sum of all squared percentages

For Whites:

= 59² + 30² + 3² + 8² = 4454

K = 4 (known)

[ we get the value of IQV for white by putting the value of K=4 and   =4454 in the IQV formula given above]

Answer: Index of Qualitative Variation (IQV) for Whites is 0.7395

For African Americans:

= 41² + 56² + 1² + 2² = 4822

K = 4

[ we get the value of IQV for white by putting the value of K=4 and   =4822 in the IQV formula]

Answer: Index of Qualitative Variation (IQV) for African Americans is 0.6904

For Latinos:

= 43² + 46² + 2² + 8² = 4033

K = 4

[ we get the value of IQV for white by putting the value of K=4 and   =4033 in the IQV formula]

Answer: Index of Qualitative Variation (IQV) for Latinos is 0.7956

Answer of 2nd part:

Compare to Whites the African Americans present lower variability in political party affiliation as the IQV of African Americans=0.6904 is less than IQV of Whites=0.7395

Whereas Compare to Whites the Latinos present higher variability in political party affiliation as the IQV of Latinos=0.7956 is greater than IQV of Whites=0.7395