Question

The median and mode of a distribution are 25.2 and 26.1 respectively. The mean of the distribution is ______.

Options

• 24.75

• 24.25

• 24.3

• 25.5

Answer 1

The median and mode of a distribution are 25.2 and 26.1 respectively. The mean of the distribution is 24.75.

Explanation:

Mode = 3(Median) − 2(Mean)

26.1 = 3(25.2) − 2(Mean)

26.1 = 75.6 − 2(Mean)

⇒ 2(Mean) = 75.6 − 26.1

⇒ 2(Mean) = 49.5

⇒ Mean = `49.5/2`

= 24.75