Question

the tuition and fees (in thousands of dollars) for the top 14 universities in a recent year are listed below. find the mean, median, and mode of the data, if possible. if any of these measures cannot be found or a measure does not represent the center of the data, explain why.

47 44 35 44 47 39 47
44 42 44 47 42 46 44

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

a. the mean cost is 43.7.
(round to one decimal place as needed.)
b. there is no mean cost.

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 smallest 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 largest data value.
e. there is no mean cost.

Explanation:

Calculate the sum of the data values

Using the Mean Calculation knowledge point

$$
LATEXBLOCK0
$$

Compute the mean value

Using the Mean Calculation knowledge point

$$
LATEXBLOCK1
$$

Interpret the mean as a measure of center

Using the Measures of Central Tendency Interpretation knowledge point

• The calculated mean is \(43.7\).
• The data values range from \(35\) to \(47\).
• Since \(43.7\) lies near the middle of the data range and there are no extreme outliers pulling it away from the cluster of values, the mean represents the center of the data.

Answer:

Question 1

• A. The mean cost is 43.7 (Correct answer)
• B. There is no mean cost.

Question 2

• A. The mean represents the center. (Correct answer)
• B. The mean does not represent the center because it is the smallest 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 largest data value.
• E. There is no mean cost.