Question

The median and mode respectively of a frequency distribution are 26 and 29. Then its mean is ______.

Options

• 27.5

• 24.5

• 28.4

• 25.8

Answer 1

The median and mode respectively of a frequency distribution are 26 and 29. Then its mean is 24.5.

Explanation:

Since, Mode = 3 Median – 2 Mean

Therefore, 29 = 3 (26) – 2 Mean

⇒ 2 Mean = 78 – 29

⇒ Mean = `49/2`

= 24.5