Question

listed below are the annual tuition amounts of the 10 most expensive colleges in a country for a recent year. what does this \top 10\ list tell us about the population of all of that countrys college tuitions? $53,270 $53,792 $53,846 $53,694 $51,454 $53,475 $50,883 $53,846 $53,966 $51,085
a. the mode(s) of the data set is (are) $53846$ (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 midrange.
b. all colleges have tuitions around the mode.
c. all colleges have tuitions around the mean.
d. all colleges have tuitions around the median.
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: Define mode

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

Step2: Count frequencies

In the data - set of tuition amounts: $53270, $53792, $53846, $53694, $51454, $53475, $50883, $53846, $53966, $51085, the value $53846$ appears twice, and all other values appear only once. So the mode is $53846$.

Step3: Analyze representativeness

The "Top 10" list represents only the most expensive colleges. It is a non - representative sample of all colleges in the country. We cannot make inferences about the mid - range, mode, mean, or median of all college tuitions based on just the most expensive ones.

Answer:

A. The mode(s) of the data set is (are) $53846$
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.