A group of 50 students, 25 men and 25 women, reported the number of hours per week they spent studying statistics. Use the table and histograms below to complete parts a. and b. Variable N Mean StDev Minimum Q1 Median Q3 Maximum Men 25 5.68 4.470 1.00 2.50 5.00 6.00 18.00 Women 25 7.64 3.882 2.00 5.00 7.00 10.00 20.00 W Click the icon to view the histograms for the two distributions. a. Refer to the histograms. Which measure of center should be compared: the means or the medians? why? O A. The distributions should be compared using the means and standard deviations because these are both symmetric distributions with no outliers. O B. It is appropriate to use either the medians or the means as measures of center. OC. Both data sets are right-skewed and have outliers that represent large numbers of hours studying; so the medians and interquartile ranges should be compared. O D. Both data sets are right-skewed and have outliers that represent large numbers of hours studying; so the means and standard deviations should be compared. b. Compare the distributions in context using appropriate measures. (Don't forget to mention outliers, if appropriate). Refer to the table for the summary statistics. O A. The women tended to study more as measured by the median, and had more variation as measured by the interquartile range. O B. The women tended to study more as measured by the median, and had less variation as measured by the standard deviation. O C. The women tended to study more as measured by the mean, and had less variation as measured by the standard deviation.

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### Study Hours Comparison of Men and Women

A group of 50 students, comprised of 25 men and 25 women, reported the number of hours per week they spent studying statistics. Below is a table presenting their study hours' statistical summary.

| Variable | N  | Mean | StDev | Minimum | Q1  | Median | Q3  | Maximum |
|----------|----|------|-------|---------|-----|--------|-----|---------|
| Men      | 25 | 5.68 | 4.470 | 1.00    | 2.50| 5.00   | 6.00| 18.00   |
| Women    | 25 | 7.64 | 3.882 | 2.00    | 5.00| 7.00   | 10.00| 20.00   |

#### Refer to the histograms:
**a. Which measure of center should be compared: the means or the medians? Why?**

- **A.** The distributions should be compared using the means and standard deviations because these are both symmetric distributions with no outliers.
- **B.** It is appropriate to use either the medians or the means as measures of center.
- **C.** Both data sets are right-skewed and have outliers; compare the medians and interquartile ranges.
- **D.** Both data sets are right-skewed and have outliers; compare the means and standard deviations.

**Selected Answer: C.** Both data sets are right-skewed and have outliers; compare the medians and interquartile ranges.

#### Compare the distributions in context using appropriate measures:
**b. Refer to the table for the summary statistics.**

- **A.** The women tended to study more as measured by the median, and had more variation as measured by the interquartile range.
- **B.** The women tended to study more as measured by the median, and had less variation as measured by the standard deviation.
- **C.** The women tended to study more as measured by the mean, and had less variation as measured by the standard deviation.
- **D.** The women tended to study more as measured by the mean, and had more variation as measured by the interquartile range.

**Selected Answer: A.** The women tended to study more as measured by the
Transcribed Image Text:### Study Hours Comparison of Men and Women A group of 50 students, comprised of 25 men and 25 women, reported the number of hours per week they spent studying statistics. Below is a table presenting their study hours' statistical summary. | Variable | N | Mean | StDev | Minimum | Q1 | Median | Q3 | Maximum | |----------|----|------|-------|---------|-----|--------|-----|---------| | Men | 25 | 5.68 | 4.470 | 1.00 | 2.50| 5.00 | 6.00| 18.00 | | Women | 25 | 7.64 | 3.882 | 2.00 | 5.00| 7.00 | 10.00| 20.00 | #### Refer to the histograms: **a. Which measure of center should be compared: the means or the medians? Why?** - **A.** The distributions should be compared using the means and standard deviations because these are both symmetric distributions with no outliers. - **B.** It is appropriate to use either the medians or the means as measures of center. - **C.** Both data sets are right-skewed and have outliers; compare the medians and interquartile ranges. - **D.** Both data sets are right-skewed and have outliers; compare the means and standard deviations. **Selected Answer: C.** Both data sets are right-skewed and have outliers; compare the medians and interquartile ranges. #### Compare the distributions in context using appropriate measures: **b. Refer to the table for the summary statistics.** - **A.** The women tended to study more as measured by the median, and had more variation as measured by the interquartile range. - **B.** The women tended to study more as measured by the median, and had less variation as measured by the standard deviation. - **C.** The women tended to study more as measured by the mean, and had less variation as measured by the standard deviation. - **D.** The women tended to study more as measured by the mean, and had more variation as measured by the interquartile range. **Selected Answer: A.** The women tended to study more as measured by the
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