Use the table to answer the question.

Question

Which of the following values is included in the data set illustrated by this stem-and-leaf plot?

Leaf
5 9
2 3 7 8
5
0 1 4
0 4
0
Stem
1

2

3

4

5

5

7

Key: 1|5 = 15
Answers:
10
21
44
51

Answer 1

To interpret the stem-and-leaf plot, we need to understand what the values represent based on the stems and leaves.

In the stem-and-leaf plot provided:

• The stem represents the tens place of the numbers, while the leaf represents the ones place.
• The first stem (1) with a leaf of 5 represents the value 15.
• The second stem (2) with leaves of 2, 3, 7, and 8 represents the values 22, 23, 27, and 28.
• The third stem (3) with a leaf of 5 represents the value 35.
• The fourth stem (4) with leaves of 0 and 1 represents the values 40 and 41.
• The fifth stem (5) with leaves of 0, 1, and 4 represents the values 50, 51, and 54.
• The last stem (5) with a leaf of 9 represents the value 59.
• The final stem (7) with a leaf of 0 represents the value 70.

Now, let's match the given answer options against the values found in the stem-and-leaf plot:

• 10: Not present, as the smallest number is 15.
• 21: Not present, as all numbers starting with 2 are 22, 23, 27, and 28.
• 44: Not present, as the only numbers in the 40s are 40 and 41.
• 51: Present, as it is represented in the stem-and-leaf plot.

Thus, the value included in the data set illustrated by the stem-and-leaf plot is 51.