Perkins 2/7/2018 Chapter 3 27. The statistics are also shown. Complete parts (a)

Question

Perkins 2/7/2018 Chapter 3 27. The statistics are also shown. Complete parts (a) through (d) below accompanying histograms show the number of pairs of shoes reported for 315 males and for 304 females. Descriptive Variable N Mean StDev Minimum Q1 Median 03 Maximum ra range Female 304 29.10 22.09 1,00 9.00 20.00 36.00 100.00 27.00 Male 315 11349 12.614 1.000 5.000 6.000 10.000 100.000 .000 Click the icon to view the histograms of the number of pairs of shoes for men and women. a. Describe the shape of each histogram The histogram for the men's distribution of data is (1) The histogram for the women's distribution of data b. Because of the shapes, what measures of the center should be compared, the means or the medians? Because of the shapes of the distributions, the men's measure of center, the (3)should be compared to the women's measure of center, the (4) c. Because of the shapes, what measure of spread is preferred, the standard deviation or the interquartile range? Because of the shapes of the distributions. the preferred measure of spread for the men is the (5) and the preferred measure of spread for the women is the (6) d. Compare the centers and spreads in context The (7) of pairs of shoes for men is (8) than the (9) pairs of shoes for men is of pairs of shoes for women. The (10) of than the (12) (11), (Type integers or decimals. Do not round.) -of pairs of shoes for women. 6: Number of Pairs of Shoes for Men and Women 015 30 45 60 76 90 105 Number of Pairs of Shoes for Males 0 15 30 45 60 75 90 105 Number of Pairs af Shoes for Females

Explanation / Answer

1) strongly right skewed – Peaks initially, then has a long tail towards right

2) strongly right skewed – Peaks initially, then has a long tail towards right

3) mean

4) mean - As both data are heavily skewed, so median is preferred measure of central tendency instead of mean

5) interquartile range - it has few outliers

6) standard deviation - it is evenly spraed across

7) mean, median

8) lower, lower

9) mean, median (Both mean and median are lower for men. Difference for mean is about 18, Difference for median is 18)

10) standard deviation, interquartile range

11) lower, lower

12) standard deviation, interquartile range (Both standard deviation and interquartile range are lower for men. Difference for standard deviation is about 9, Difference for interquartile range is 22)

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