Question

The stem plot shows the number of swimming laps completed by swim team members at a single practice.

Row 1 has a 5 to the left of the bar and 7, 9 to the right. Row 2 has a 6 to the left of the bar and 1, 2, 3, 4 to the right. Row 3 has a 7 to the left of the bar and 6, 6 to the right. Row 4 has an 8 to the left of the bar and 2, 5, 9 to the right. Row 5 has a 9 to the left of the bar and no numbers to the right. Row 6 has a 10 to the left of the bar and no numbers to the right. Row 7 has an 11 to the left of the bar and no numbers to the right. Row 12 has a 12 to the left of the bar and a 5 to the right.
Key: 5|9 = 59 swimming laps

Which of the following is a correct statement about the distribution?

Answer 1

The question is incomplete. Here is the complete question.

The stem plot shows the number of swimming laps completed by the swim team members at a single practice.

5       7 9

6       1 2 3 4

7       6 6

8

9

10

11

12      5

What is a correct statement about distribution?

There no outliers

The distribution is symmetric

The center is around 80

The distribution is unimodal

The spread is from 57 to 89.

Answer: The distribution is unimodal.

Step-by-step explanation: Stem Plot is an unique way of writing numbers in a table. Each value is split into a "stem" (first digit or digits) and a "leaf" (usually the last digit).

For the swim team practice, we have:

57, 59, 61, 62, 63, 64, 76, 76, 125

Note that, although there the digits 8, 9, 10, and 11, there no "leaves" for them, so, the values are not part of the distribution.

Outlier is a value that lies outside most of other values. In the distribution there is the value 125 which is very much more than other values, i.e., it is an outlier, so, alternative "There no outliers" is false;

Ploting the values on a frequency graph, it shows a curve skewed to the right, i.e., deslocated to the right, then, it is not symmetric. Second alternative is false.

The center of the distribution is the middle value, which is 63, then, third statement is false.

The spread of this distribution is from 57 to 125, so fifth statement is incorrect.

An unimodal distribution is a distribution which has only one clear peak or most frequent value. At the swim team distribution, the value that appears more than once is 76, so the peak is at that value. The other values appears just once, so distribution has only one peak. Fourth statement is correct.