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.
Father and Son Height Data Sons Fathers 74 75 71 70 71 70 63 62 67 66 69 68 63 62 71 70 70 70 68 68 65 65 73 73 68 69 73 73 68 67 72 71 71 71 71 70a. Make histograms and describe the shapes of the two data sets from the histograms. Make a histogram of the data for the sons. Choose the correct histogram below. O A. O B. O C. OD. Frequency Frequency Frequency Frequency 60 74 60 74 60 74 60 74 Heights of Sons Heights of Sons Heights of Sons Heights of Sons Make a histogram of the data for the dads. Choose the correct histogram below. O A. OB. O C. OD. 8- Frequency Frequency Frequency Frequency 60 74 60 60 74 60 74 74 Heights of Dads Heights of Dads Heights of Dads Heights of DadsDescribe the shapes of the two data sets from the histograms. The histogram of the heights of sons is :l and there outlier(s). The histogram of the heights of dads is _ outlier(s). b. Fill in the following table to compare c roughly symmetric slightly skewed to the right slightly skewed to the left (Round to two decimal places as ne Describe the shapes of the two data sets from the histograms. The histogram of the heights of sons is The histogram of the heights of dads is and there _ b. Fill in the following table to compare descriptive statistics. are no apparent Standard Interquartile Mean Median Deviation Range (Round to two decimal places as needed.) is at least one apparent Describe the shapes of the two data sets from the histograms. The histogram of the heights of sons is _ and there outlier(s). The histogram of the heights of dads is and there _ outlier(s). b. Fill in the following table to compare c slightly skewed to the left slightly skewed to the right (Round to two decimal places as ne rougth symmetric 0. Compare the heights of the sons and andard deviations. Describe the shapes of the two data sets from the histograms. The histogram of the heights of sons is and there_ outlier(s). The histogram of the heights of dads is _ and there_ _outlier(s). b. Fill in the following table to compare descriptive statistics. Standard Interquartile Mean Median Deviation Range is at least one apparent are no apparent (Round to two decimal places as needed.) b. Fill in the following table to compare descriptive statistics. Standard Interquartile Mean Median Deviation Range (Round to M0 decimal places as needed.) 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, |:| the dads and have |:| variation in their heights. d. Compare the heights of the sons and their dads, using the medians _ Using the medians and the interquartile ranges, the sons are, on aver the dads and have |:| variation in their heights. the same height as e. Which pair of statistics is more appropriate for comparing these sar ard deviation or the median and the interquartile range? Explain. shorter than 0 A. Either pair could be used because the distributions are either I y skewed and there are no outliers. O B. The medians and interquartile ranges are more appropriate bi taller than ghly symmetric and there are no outliers. O C. The medians and interquartile ranges are more appropriate because at least one of the distributions is heavily skewed andlor there is at least one outlier. 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, |:| the dads and have |:| variation in their heights. 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, |:| than the dads l variation in their heights. ess e. Which pair of statistics is more appropriate for comparing these samples: the mean and the standard deviati I the interquartile range? Explain. the same 0 A. Either pair could be used because the distributions are either roughly symmetric or only slightly skewec tliers. more O B. The medians and interquartile ranges are more appropriate because the distributions are roughly symn IO outliers. O C. The medians and interquartile ranges are more appropriate because at least one of the distributions is heavily skewed and/or there is at least one outliel'. An -. 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, |:| than the dads and have |:| variation in their heights. e. Which pair of statistics is more appropriate for comparing these samples - iviation or the median and the interquartile range? Explain. O A. Either pair could be used because the distributions are either rough taller than awed and there are no outliers. O B. The medians and interquartile ranges are more appropriate becaus symmetric and there are no outliers. O C. The medians and interquartile ranges are more appropriate becaus the same height 35 Is is heavily skewed andi'or there is at least one outlier. O D. The means and standard deviations are more appropriate because shorter than 'mmetn'c and there are no outliers. O E. Either pair could be used because at least one of the distributions is s at least one outlier. 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, |:| than the dads and have |:| variation in their heights. e. Which pair of statistics is more appropriate for comparing these samples: the mean and the standard deviation or the r - uartile range? Explain. O A. Either pair could be used because the distributions are either rougth symmetric or only slightly skewed and there the same 0 B. The medians and interquartile ranges are more appropriate because the distributions are roughly symmetric and O C. The medians and interquartile ranges are more appropriate because at least one of the distribulions is heavily Ski more at least one outlier. O D. The means and standard deviations are more appropriate because the distributions are roughly symmetric and tl" less O E. Either pair could be used because at least one of the distribulions is heavily skewed and/or there is at least one a 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. O A. Either pair could be used because the distributions are either roughly symmetric or only slightly skewed and there are no outliers. O B. The medians and interquartile ranges are more appropriate because the distributions are roughly symmetric and there are no outliers. O C. The medians and interquartile ranges are more appropriate because at least one of the distributions is heavily skewed and/or there is at least one outlier. O D. The means and standard deviations are more appropriate because the distributions are roughly symmetric and there are no outliers. O E. Either pair could be used because at least one of the distributions is heavily skewed andlor there is at least one outlier. G) F. The means and standard deviations are more appropriate because at least one of the distributions is heavily skewed andfor there is at least one outlier
