Question

The accompanying data give the heights of 18 male college students and their​ fathers, in inches. Use these data to complete parts​ (a) through​ (e) below.

Describe the shapes of the two data sets from the histograms. The histogram of the heights of sons is slightly skewed to the left and there are no apparent ​outlier(s). The histogram of the heights of dads is slightly skewed to the left and there are no apparent ​outlier(s). Part 4 b. Fill in the following table to compare descriptive statistics. Mean Median Standard Deviation Interquartile Range Sons 69.2869.28 70.570.5 3.543.54 55 Dads 69.1169.11 7070 3.273.27 33​(Round to two decimal places as​ needed.) Part 5 c. Compare the heights of the sons and their​ dads, using the means and the standard deviations. Using the means and standard​ deviations, the sons​ are, on​ average, taller than the dads and have more variation in their heights. Part 6 d. Compare the heights of the sons and their​ dads, using the medians and the interquartile ranges. Using the medians and the interquartile​ ranges, the sons​ are, on​ average, taller than than the dads and have more variation in their heights. Part 7 e. Which pair of statistics is more appropriate for comparing these​ samples: the mean and the standard deviation or the median and the interquartile​ range? Explain. Either pair could be used because the distributions are either roughly symmetric or only slightly skewed and there are no outliers.

Answer 1

The histograms show that the heights of both the sons and their dads are slightly skewed to the left. The sons are, on average, taller than the dads and have more variation in their heights. Both the mean and standard deviation and the median and interquartile range can be used to compare the samples.

Step-by-step explanation:

The shapes of the two data sets from the histograms are slightly skewed to the left. There are no apparent outliers in either data set.

When comparing the heights of the sons and their dads using the means and standard deviations, the sons are, on average, taller than the dads and have more variation in their heights.

Both the mean and the standard deviation and the median and the interquartile range can be used to compare these samples because the distributions are either roughly symmetric or only slightly skewed and there are no outliers.