Question

The Median when it is given that mode and mean are 8 and 9 respectively, is ______.

Options

• 8.57

• 8.67

• 8.97

• 9.24

Answer 1

The Median when it is given that mode and mean are 8 and 9 respectively, is 8.67.

Explanation:-

By Empirical formula:

Mode = 3median - 2 mean

8 = 3medain - 2 × 9

8 = 3median - 18

3median = 8 + 18

Median = `26/3`

Median = 8.67