Question

In the 2021 football season, the Riverside Red Dragon's manager gathered the points scored by the team during the regular season games. The following data set shows the values collected by the manager.

{15, 0, 26, 15, 20, 15, 34, 11, 20, 39, 31, 20, 23, 20, 39, 5}

Which of the following stem-and-leaf plots correctly graphs the data set?


2021 Riverside Red Dragon Football Season Points

0 0 5
1 1 5
2 0 3 6
3 1 4 9
Key 1|1 = 11

2021 Riverside Red Dragon Football Season Points

1 1 5
2 0 3 6
3 1 4 9
Key 1|1 = 11

2021 Riverside Red Dragon Football Season Points

1 1 5 5 5
2 0 0 0 0 3 6
3 0 1 4 9 9
Key 1|1 = 11

2021 Riverside Red Dragon Football Season Points

0 0 5
1 1 5 5 5
2 0 0 0 0 3 6
3 1 4 9 9
Key 1|1 = 11

Answer 1

(d)

• 0 | 0 5
• 1 | 1 5 5 5
• 2 | 0 0 0 0 3 6
• 3 | 1 4 9 9
• Key 1|1 = 11

Explanation:

You want to identify the stem and leaf plot for the 16 scores listed. Their minimum is 0.

Stem and leaf plot

A typical stem and leaf plot lists the number of tens in a value at the left margin (the stem), then units digits (in order, least to greatest) of the values with that number of tens.

For example, the scores 0 and 5 both have 0 tens, so would be plotted as ...

0 | 0 5

where the leftmost 0 is the "stem" and the right two digits, 0 and 5, are the "leaves".

The plot will have as many leaves as there are values in the data set.

Application

The two scores less than 10 are 0 and 5, so the first line of the stem-and-leaf plot will be ...

0 | 0 5 . . . . . . . . . eliminates choices B and C

There are 16 scores in the data set, so the plot will have a total of 16 leaves. (eliminates choice A).

The correct stem-and-leaf plot is choice D:

0 | 0 5

1 | 1 5 5 5

2 | 0 0 0 0 3 6

3 | 1 4 9 9

Key 1|1 = 11