A random sample of 50 colleges and universities in the U.S. was ...

[imanialler]

A random sample of 50 colleges and universities in the U.S. was selected, and acceptance rates were recorded for each school (percentage of student applicants who were accepted to the school). The following five-number summary was calculated for this data set: lowest = 17; lower quartile = 25.75; median = 36; upper quartile = 47.75; highest = 67 . Describe the center of this data set in words a prospective student would understand.

Question 2

A random sample of 50 colleges and universities in the U.S. was selected, and acceptance rates were recorded for each school (percentage of student applicants who were accepted to the school). The following five-number summary was calculated for this data set: lowest = 17; lower quartile = 25.75; median = 36; upper quartile = 47.75; highest = 67 . Describe the shape of this data based on the five-number summary.

[Shshxj]

Answer to Question 1

THE MEDIAN (MIDDLE) OF THE ACCEPTANCE RATES IS 36. ABOUT HALF OF THE SCHOOLS ACCEPT 36 OR MORE OF APPLICANTS, AND ABOUT HALF ACCEPT 36 OR LESS.

Answer to Question 2

THE DATA SET LOOKS FAIRLY EVENLY DISTRIBUTED EXCEPT FOR THE LAST QUARTER OF THE DATA, WHICH IS MORE SPREAD OUT THAN THE REST, INDICATING SKEWNESS TO THE RIGHT.