Question

listed below are the annual tuition amounts of the 10 most expensive colleges in a country for a recent year. what does the \top 10\ list tell us about the population of all of that countrys college tuitions? $54,393 $52,491 $53,353 $53,909 $53,578 $50,623 $54,053 $51,840 $52,037 $53,909
what is (are) the mode(s) of the data set?
select the correct choice below and, if necessary, fill in the answer box within your choice.
a. the mode(s) of the data set is (are) $53909. (type an integer or a decimal. do not round. use a comma to separate answers as needed.)
b. there is no mode.
what does this \top 10\ list tell us about the population of all the countrys college tuitions?
a. all colleges have tuitions around the mean.
b. all colleges have tuitions around the median.
c. all colleges have tuitions around the midrange.
d. all colleges have tuitions around the mode.
e. nothing meaningful can be concluded from this information except that these are the largest tuitions of colleges in the country for a recent year.

Explanation:

Step1: Recall mode definition

The mode is the value that appears most frequently in a data - set.

Step2: Identify mode in data - set

In the data - set \(\{54393,52491,53353,53909,53578,50623,54053,51840,52037,53909\}\), the value \(53909\) appears twice and all other values appear only once. So the mode is \(53909\).

Step3: Analyze what "Top 10" list tells

The "Top 10" list only shows the 10 most expensive college tuitions. It does not represent the typical tuition of all colleges. We cannot conclude that all colleges have tuitions around the mean, median, mid - range, or mode of this "Top 10" list. The only thing we can conclude is that these are the largest tuitions of colleges in the country for a recent year.

Answer:

A. The mode(s) of the data set is (are) \(53909\).
E. Nothing meaningful can be concluded from this information except that these are the largest tuitions of colleges in the country for a recent year.