Question

The numbers of students in each of the elective classes at a school are given below. Use the data to make a stem-and-leaf plot. 24, 14, 12, 25, 32, 18, 23, 24, 9, 18, 34, 28, 24, 27.

Answer 1

To create a stem-and-leaf plot for the given data, we arrange the numbers, divide into stems and leaves, and organize the leaves in ascending order next to their stems. The plot helps visualize the distribution of student counts across different elective classes.

Step-by-step explanation:

To create a stem-and-leaf plot of the number of students in each elective class, we follow these steps:

1. Arranging the data in ascending order: 9, 12, 14, 18, 18, 23, 24, 24, 24, 25, 27, 28, 32, 34
2. Splitting each number into a stem (the leading digit) and a leaf (the last significant digit). For example, the number 24 will have a stem of 2 and a leaf of 4.
3. Writing down the stems in a column and then listing the corresponding leaves next to each stem in ascending order.

The resulting stem-and-leaf plot looks like this:

0 | 9
1 | 2 4 8 8
2 | 3 4 4 4 5 7 8
3 | 2 4

Each row represents a 'tens' place. The leaf unit is 'ones' here. For instance, the stem '1' with leaves '4 8 8' in the second row corresponds to the numbers 14, 18, and 18. Notice that we repeat leaves to represent duplicate numbers.