Question

Construct a stem and leaf plot for the following list of grades on a recent test: 73, 42, 67, 78, 99, 84, 91, 82, 86, 94.

Answer 1

A stem-and-leaf plot is constructed using stems as the first digits and leaves as the second digits of a set of data. For the given grades, stems range from 4 to 9 and each corresponding leaf is placed in ascending order next to its stem.

Step-by-step explanation:

How to Construct a Stem-and-Leaf Plot

To construct a stem-and-leaf plot for the following list of grades on a recent test: 73, 42, 67, 78, 99, 84, 91, 82, 86, 94, follow these steps:

1. Identify the stems. The stem can be the first digit(s) of the numbers. For these grades, the stems will be 4, 6, 7, 8, and 9.
2. Identify the leaves. In this case, the leaves are the second digits of the numbers.
3. Arrange the stems in ascending order from top to bottom on the left side of the plot.
4. Place the leaves in ascending order next to their corresponding stem, to the right of a vertical line.

The stem-and-leaf plot will look like this:

4 | 2
6 | 7
7 | 3 8
8 | 2 4 6
9 | 1 4 9

The stem-and-leaf plot provides a quick way to see the distribution of the test grades and to identify data patterns or potential outliers.