A stem-and-leaf plot is most useful when looking at a series of data. When we have a series of data, we can organize them according to place value.

Example

22, 15, 11, 22, 24, 33, 45

Letâ€™s say that we want to organize this data in a stem-and-leaf plot. First, we organize them by the tens place since all of our numbers have tens places as the highest place value.

11, 15, 22, 22, 24, 33, 45

Next, we can put each stem on one side of our vertical line.

Each number in the data has been organized. The tens place is on the left for each number and the ones places that go with each ten are on the right side of the vertical bar. This is our completed stem-and-leaf plot. Notice that we list repeated values in the chart.

The range of the numbers is the difference between the maximum score and the minimum score. We can use a stem-and-leaf plot to find the range of a set of data.

To find the range, we subtract the smallest number from the largest number. This difference will give us the range.