Question

What is the mode of a data if median and mean of the same data are 9.6 and 10.5, respectively?

Options

• 7.8

• 12.3

• 8.4

• 7

Answer 1

7.8

Explanation:

Given:

Median = 9.6

Mean = 10.5

Now, applying the formula: Mode = 3 × Median − 2 × Mean

Mode = 3(9.6) – 2(10.5)

= 28.8 – 21

= 7.8

Thus, the correct answer is (A) 7.8.