How long did real cowboys live? One answer may be found in thebook The Last Cowboys by Connie Brooks (University of New MexicoPress). This delightful book presents a thoughtful sociologicalstudy of cowboys in West Texas and Southeastern New Mexico aroundthe year 1890. A sample of 32 cowboys gave the following years oflongevity: 58 52 68 86 72 66 97 89 84 91 91 92 66 68 87 86 73 61 7075 72 73 85 84 90 57 77 76 84 93 58 47 (a) Make a stem-and-leafdisplay for these data. (Use the tens digit as the stem and theones digit as the leaf. Enter numbers from smallest to largestseparated by spaces. Enter NONE for stems with no values.)Longevity of Cowboys 4 5 6 7 8 9 7 2788 16688 02233567 44456679011237 (b) Consider the following quote from Baron von Richthofenin his Cattle Raising on the Plains of North America: "Cowboys areto be found among the sons of the best families. The truth isprobably that most were not a drunken, gambling lot, quick to drawand fire their pistols." Does the data distribution of longevitylend credence to this quote? No, these cowboys did not live longlives, as evidenced by the high frequency of leaves for stems 4 and5 (i.e., 40- and 50-year-olds). Sort of, these cowboys livedsomewhat long lives, as evidenced by the high frequency of leavesfor stems 5 and 6 (i.e., 50- and 60-year-olds). Yes, these cowboyscertainly lived long lives, as evidenced by the high frequency ofleaves for stems 7, 8, and 9 (i.e., 70-, 80-, and 90-year-olds).6.–/2.85 points BBUnderStat12 2.1.017. Ask Your Teacher My NotesQuestion Part Points Certain kinds of tumors tend to recur. Thefollowing data represent the lengths of time, in months, for atumor to recur after chemotherapy (Reference: D.P. Byar, Journal ofUrology, Vol. 10, pp. 556-561). 19 18 17 1 21 22 54 46 25 49 50 159 39 43 39 5 9 38 18 14 45 54 59 46 50 29 12 19 36 38 40 43 41 1050 41 25 19 39 27 20 For this problem, use five classes. (a) Findthe class width. 12 (b) Make a frequency table showing classlimits, class boundaries, midpoints, frequencies, relativefrequencies, and cumulative frequencies. (Give relative frequenciesto 2 decimal places.) Class Limits Class Boundaries MidpointFrequency Relative Frequency Cumulative Frequency 1 ? 12 13 ? 24 25? 36 37 ? 48 49 ? 60 0.5 ? 12.5 12.5 ? 24.5 24.5 ? 36.5 36.5 ? 48.548.5 ? 60.5 6.5 18.5 30.5 42.5 54.5 6 10 5 13 8 0.14 0.24 0.12 0.310.19 6 10 21 34 42 (c) Draw a histogram. Maple Generated Plot MapleGenerated Plot Maple Generated Plot Maple Generated Plot (d) Draw arelative-frequency histogram. Maple Generated Plot Maple GeneratedPlot Maple Generated Plot Maple Generated Plot (e) Categorize thebasic distribution shape. uniform mound-shaped symmetrical bimodalskewed left skewed right