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

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

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

a. the median is 5.
(type an integer or decimal rounded to one decimal place as needed.)
b. the data set does not have a median.

does the median represent the center of the data?

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

Explanation:

Sort the data set

$$ 4, 4, 4, 4, 4, 4, 5, 5, 5, 6, 7, 8, 8 $$

Calculate the median

$$
LATEXBLOCK0
$$

Determine if the median represents the center

$$
LATEXBLOCK1
$$

Answer:

Question 1

• A. The median is 5. (Correct answer)
• B. The data set does not have a median.

Question 2

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