Question

If the mode of some observations is 10 and sum of mean and median is 25, then the mean and median, respectively, are ______.

Options

• 12 and 13

• 13 and 12

• 10 and 15

• 15 and 10

Answer 1

If the mode of some observations is 10 and sum of mean and median is 25, then the mean and median, respectively, are 13 and 12.

Explanation:

x + y = 25

 mode = 3median - 2mean

10 = 3y − 2x

−2x + 3y = 10
   2x + 2y = 30

           5y = 60 

y = 12

x + y = 25

x + 12 = 25

x = 25 − 12

x = 13