Question

The mean and median of a frequency distribution are 43 and 43.4 respectively. The mode of the distribution is ______.

Options

• 43.4

• 42.4

• 44.2

• 49.3

Answer 1

The mean and median of a frequency distribution are 43 and 43.4 respectively. The mode of the distribution is 44.2.

Explanation:

Given:

Mean = 43

Median = 43.4

Using the empirical relationship between mean, median and mode:

Mode = 3 × Median – 2 × Mean

Mode = 3(43.4) – 2(43)

Mode = 130.2 – 86

Mode = 44.2