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.
57 53 69 85 73 67 96 88 85 92 92 93 65 67 88 87 74 62 69 76 73 72 86 83 89 58 76 77 85 94 57 48
(a) Make a stem-and-leaf display for these data. (Enter numbers from smallest to largest separated by spaces. Enter NONE for stems with no values.)
stem leaf
4
5
6
7
8
9
What is the leaf ?
Please help
To make a stem-and-leaf display for the given data, we first need to organize the data in ascending order. Then, we separate each value into a stem and a leaf. The stem represents the tens digit, and the leaf represents the ones digit.
The data given is:
57, 53, 69, 85, 73, 67, 96, 88, 85, 92, 92, 93, 65, 67, 88, 87, 74, 62, 69, 76, 73, 72, 86, 83, 89, 58, 76, 77, 85, 94, 57, 48
Now, let's organize the data in ascending order:
48, 53, 57, 57, 58, 62, 65, 67, 67, 69, 69, 72, 73, 73, 74, 76, 76, 77, 83, 85, 85, 85, 86, 87, 88, 88, 89, 92, 92, 93, 94, 96
Next, we separate each value into a stem and a leaf:
The stem and leaves are as follows:
4 | 8
5 | 3 7 7 8 8
6 | 2 5 7 7 9 9
7 | 2 3 3 4 6 6 7 7 7
8 | 3 5 5 6 7 8 8 9
9 | 2 2 3 4 6
Now, to answer your question, the leaf is the digit representing the ones place value in each value of the data. In this case, the leaf is the rightmost digit in each value.
So, for the given data, the leaf is the digit that corresponds to the ones place value: 8 3 7 7 8 2 5 7 7 9 9 2 3 3 4 6 6 7 3 5 5 5 6 7 8 8 9 2 2 3 4 6
In the stem-and-leaf display, we have:
stem | leaf
--------------
4 | 8
5 | 3 7 7 8 8
6 | 2 5 7 7 9 9
7 | 2 3 3 4 6 6 7 7 7
8 | 3 5 5 6 7 8 8 9
9 | 2 2 3 4 6
Note: "None" should be entered for stems without any values, but in this case, every stem has at least one value.