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

Explanation:

Sort and organize the data

Using the Mean Calculation knowledge point

$$ \text{Data: } 35, 39, 42, 42, 44, 44, 44, 44, 44, 46, 47, 47, 47, 47 $$

$$ n = 14 $$

Calculate the sum of the values

Using the Mean Calculation knowledge point

$$ \sum x = 35 + 39 + 42 + 42 + 44 + 44 + 44 + 44 + 44 + 46 + 47 + 47 + 47 + 47 = 612 $$

Compute the mean

Using the Mean Calculation knowledge point

$$ \mu = \frac{612}{14} \approx 43.714 $$

$$ \mu \approx 43.7 $$

Answer:

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