The following data give the time (in minutes) that each of 20 students waitedin line at their bookstore to pay for their textbooks in the beginning of Spring2009 semester. (Note: To prepare a stem-and-leaf display, each number in thisdata set can be written as a two-digit number. For Example, 8 can be written as08, for which the stem is 0 and the leaf is 8.)15 8 23 21 4 17 31 22 31 65 6 14 17 16 25 27 3 31 8Construct a stem-and-leaf display for these data. Arrange the leaves for eachstem in increasing order
Question
The following data give the time (in minutes) that each of 20 students waitedin line at their bookstore to pay for their textbooks in the beginning of Spring2009 semester. (Note: To prepare a stem-and-leaf display, each number in thisdata set can be written as a two-digit number. For Example, 8 can be written as08, for which the stem is 0 and the leaf is 8.)15 8 23 21 4 17 31 22 31 65 6 14 17 16 25 27 3 31 8Construct a stem-and-leaf display for these data. Arrange the leaves for eachstem in increasing order
Solution
To construct a stem-and-leaf display for the given data, we first need to organize the data in ascending order:
3, 4, 6, 8, 8, 14, 15, 16, 17, 17, 21, 22, 23, 25, 27, 31, 31, 31, 65
Next, we separate each number into a stem and a leaf. The stem is the first digit(s) and the leaf is the last digit. For example, for the number 14, the stem is 1 and the leaf is 4.
Here is the stem-and-leaf display:
| Stem | Leaves |
|---|---|
| 0 | 3, 4, 6, 8, 8 |
| 1 | 4, 5, 6, 7, 7 |
| 2 | 1, 2, 3, 5, 7 |
| 3 | 1, 1, 1 |
| 6 | 5 |
This display shows the distribution of the data. For example, you can see that most of the waiting times are in the 10s and 20s minutes.
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