Question

A person gave bags of jellybeans to 11 students. The mimimum was 8 maximum was 21, mode was 14 and median was 15. What was the number of jellybeans each student could have reported to get the landmarks given

Answer 1

Using just the data given, we can start out with a list of 11 ascending values fro min to max, with 15 in the middle:

min, median, max:
8 x x x x 15 x x x x 21

Now add some 14 values, so 14 is the most frequent value (mode):

8 x x 14 14 15 x x x x 21

There can be as many 14's as you want, from 2-4

Then fill in the other x's as you see fit.