a. How many categories (K) are we working with? b. Calculate the sum of the squared percentages, or EPct? c. What is the IQV for this variable? Do you find it to be higher (closer to 1) or lower (closer to 0) than you might have expected for political views? Or to put it another way, did you expect that Americans would be diverse in their political views or more narrowly concentrated in certain categories?

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**3. Americans often think of themselves as quite diverse in their political opinions, within the continuum of liberal to conservative. The percentage distribution shown displays respondents’ self-rating of their political views. Compute the Index of Qualitative Variation for the following frequency distribution for the data below.**

| Political Views          | f    | Percentage (%) |
|--------------------------|------|----------------|
| Extremely liberal        | 41   | 3.6            |
| Liberal                  | 144  | 12.7           |
| Slightly liberal         | 126  | 11.1           |
| Moderate                 | 447  | 39.5           |
| Slightly conservative    | 163  | 14.9           |
| Conservative             | 169  | 14.9           |
| Extremely conservative   | 43   | 3.8            |
| **TOTAL**                | 1,133| **100.0**      |

---

**Questions:**

a. How many categories (K) are we working with?

b. Calculate the sum of the squared percentages, or ΣPct².

c. What is the Index of Qualitative Variation (IQV) for this variable? Do you find it to be higher (closer to 1) or lower (closer to 0) than you might have expected for political views? Or to put it another way, did you expect that Americans would be diverse in their political views or more narrowly concentrated in certain categories?

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Transcribed Image Text:Certainly! Here is the transcribed text for an educational website: --- **3. Americans often think of themselves as quite diverse in their political opinions, within the continuum of liberal to conservative. The percentage distribution shown displays respondents’ self-rating of their political views. Compute the Index of Qualitative Variation for the following frequency distribution for the data below.** | Political Views | f | Percentage (%) | |--------------------------|------|----------------| | Extremely liberal | 41 | 3.6 | | Liberal | 144 | 12.7 | | Slightly liberal | 126 | 11.1 | | Moderate | 447 | 39.5 | | Slightly conservative | 163 | 14.9 | | Conservative | 169 | 14.9 | | Extremely conservative | 43 | 3.8 | | **TOTAL** | 1,133| **100.0** | --- **Questions:** a. How many categories (K) are we working with? b. Calculate the sum of the squared percentages, or ΣPct². c. What is the Index of Qualitative Variation (IQV) for this variable? Do you find it to be higher (closer to 1) or lower (closer to 0) than you might have expected for political views? Or to put it another way, did you expect that Americans would be diverse in their political views or more narrowly concentrated in certain categories? ---
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