Question

If the mean and mode of the given set of observations are 10 and 13, respectively, then the value of the median is ______.

Options

• 19

• 4

• 11

• 43

Answer 1

If the mean and mode of the given set of observations are 10 and 13, respectively, then the value of the median is 11.

Explanation:

Mean = 10

Mode = 13

Mode = 3(median) – 2(mean)

13 = 3(median) – 2 × 10

13 = 3(median) – 20

13 + 20 = 3(median)

33 = 3(median)

Median = `33/3`

Median = 11