Question

the number of credits being taken by a sample of 13 full-time college students are listed below. find the mean, median, and mode of the data, if possible. if any measure cannot be found or does not represent the center of the data, explain why.

5 7 8 8 5 4 4 4 6 4 4 4 5

find the mean. select the correct choice below and, if necessary, fill in the answer box to complete your choice.

a. the mean is 5.2.
(type an integer or decimal rounded to one decimal place as needed.)
b. the data set does not have a mean.

does the mean represent the center of the data?

a. the mean represents the center.
b. the mean does not represent the center because it is the largest data value.
c. the mean does not represent the center because it is not a data value.
d. the mean does not represent the center because it is the smallest data value.
e. the data set does not have a mean.

Explanation:

Calculate the mean of the data set

$$
LATEXBLOCK0
$$

Determine if the mean represents the center

$$
LATEXBLOCK1
$$

The mean lies near the middle of the data range and is not an extreme outlier, so it represents the center of the data.

Answer:

Question 1

• A. The mean is 5.2. (Correct answer)
• B. The data set does not have a mean.

Question 2

• A. The mean represents the center. (Correct answer)
• B. The mean does not represent the center because it is the largest data value.
• C. The mean does not represent the center because it is not a data value.
• D. The mean does not represent the center because it is the smallest data value.
• E. The data set does not have a mean.