a. Calculate the IQR for both groups. What do the IQRS reveal about the degree of diversity for males and females? b. What is the limitation to applying IQR to ordinal data?

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### Educational Attainment of GSS 2018 Respondents

**Task Overview:**
Utilizing the data provided, analyze the educational attainment of GSS 2018 respondents. The frequencies and percentages are categorized by gender.

**Tasks:**
a. Calculate the Interquartile Range (IQR) for both groups. Interpret what the IQR reveals about the educational diversity for males and females.

b. Discuss the limitations of applying the IQR to ordinal data.

**Data Breakdown:**

| Highest Educational Degree   | Males | Females |
|-------------------------------|-------|---------|
| Less than high school         | 63    | 80      |
|                               | 12.9% | 12.7%   |
| High school graduate          | 256   | 296     |
|                               | 52.5% | 47.1%   |
| Junior college                | 30    | 72      |
|                               | 6.1%  | 11.4%   |
| Bachelor's degree             | 90    | 111     |
|                               | 18.4% | 17.6%   |
| Graduate degree               | 49    | 70      |
|                               | 10%   | 11.1%   |
| **Total**                     | 488   | 629     |
|                               | 100%  | 100%    |

**Graph Explanation:**
The table displays the distribution of educational attainment among male and female respondents from the GSS 2018. Each category lists the number of individuals and their respective percentage within their gender group, allowing analysis of educational distribution based on highest degree attained. 

**Source:** Chapter 4, Measures of [Source Book Title Here]. 

(Note: Explanations of IQR calculation and limitations of using IQR with ordinal data should accompany the table when presenting to ensure comprehension of data analysis.)
Transcribed Image Text:### Educational Attainment of GSS 2018 Respondents **Task Overview:** Utilizing the data provided, analyze the educational attainment of GSS 2018 respondents. The frequencies and percentages are categorized by gender. **Tasks:** a. Calculate the Interquartile Range (IQR) for both groups. Interpret what the IQR reveals about the educational diversity for males and females. b. Discuss the limitations of applying the IQR to ordinal data. **Data Breakdown:** | Highest Educational Degree | Males | Females | |-------------------------------|-------|---------| | Less than high school | 63 | 80 | | | 12.9% | 12.7% | | High school graduate | 256 | 296 | | | 52.5% | 47.1% | | Junior college | 30 | 72 | | | 6.1% | 11.4% | | Bachelor's degree | 90 | 111 | | | 18.4% | 17.6% | | Graduate degree | 49 | 70 | | | 10% | 11.1% | | **Total** | 488 | 629 | | | 100% | 100% | **Graph Explanation:** The table displays the distribution of educational attainment among male and female respondents from the GSS 2018. Each category lists the number of individuals and their respective percentage within their gender group, allowing analysis of educational distribution based on highest degree attained. **Source:** Chapter 4, Measures of [Source Book Title Here]. (Note: Explanations of IQR calculation and limitations of using IQR with ordinal data should accompany the table when presenting to ensure comprehension of data analysis.)
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