Question

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

Options

• 17

• 7

• 10

• 28

Answer 1

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

Explanation:

Mode = 13

Median = 11

Mean = ?

Mode = 3(median) − 2(mean)

13 = 3(11) − 2(mean)

13 = 33 − 2(mean)

2(mean) = 33 − 13

2(mean) = 20

Mean = `20/2`

Mean = 10