mrs. karen had 11 students who took a test the top score was 50 and the lowest was 12 find the data set if the median was 20 and the mean was 25. Please help
you have 11 scores
x x x x x x x x x x x
range: 12-50
12 x x x x x x x x x 50
median=20
12 x x x x 20 x x x x 50
so, if mean = 25, all scores sum to 25*11 = 275
sum of x's = 275-12-20-50 = 193
So, pick any 8 numbers where the bottom 4 are between 12 and 20 and the top 4 are between 20 and 50, which sum up to 193.
the bottom 4 could be as low as 12,12,12,12, and as much as 20,20,20,20 so the sum could be from 48-80
The top 4 could be as low as 20,20,20,20 to 50,50,50,50, but must sum to 193-lower sum.
If you want to narrow down the possibilities, you need more info.