Question

Q1: How long did real cowboys live? One answer may be found in the book The Last Cowboys by Connie Brooks (University of New Mexico Press). This delightful book presents a thoughtful sociological study of cowboys in West Texas and Southeastern New Mexico around the year 1890. A sample of 32 cowboys gave the following years of longevity:

58	52	68	86	72	66	97	89	84	91	91
92	66	68	87	86	73	61	70	75	72	73
85	84	90	57	77	76	84	93	58	47

(a) Make a stem-and-leaf display for these data. (Use the tens digit as the stem and the ones digit as the leaf.)

stem leaf

4 = ?

5 = ?

6 = ?

7 = ?

8 = ?

9 = ?

Q2: A data set with whole numbers has a low value of 20 and a high value of 96.

Find the class width for a frequency table with seven classes.
Answer: 11  

Find the class limits for a frequency table with seven classes.

	Lower class limit ? Upper class limit
First class	20 - ?
Second class	31 - ?
Third class	42  ? ?
Fourth class	53  ? ?
Fifth class	64  ? ?
Sixth class	75  ? ?
Seventh class	86  ? ?

Answer 1

Q-1

A Stem and Leaf Plot is a special table where each data value is split into a "stem" (the first digit or digits) and a "leaf" (usually the last digit).

First arrange data in ascending order.

47	52	57	58	58	61	66	66	68	68	70
72	72	73	73	75	76	77	84	84	84	85
86	86	87	89	90	91	91	92	93	97

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Q-2 A data set with whole numbers has a low value of 20 and a high value of 96.

The class width for a frequency table with seven classes is:

The class limits for a frequency table with seven classes are:

	Lower class limit ? Upper class limit
First class	20 - 30
Second class	31 - 41
Third class	42 - 52
Fourth class	53 - 63
Fifth class	64 - 74
Sixth class	75 - 85
Seventh class	86 - 96