Question

The mean and median of a statistical data are 21 and 23 respectively. The mode of the data is:

• A. 27
• B. 22
• C. 17
• D. 23

Answer 1

Answer: (A)

27

Answer 2

In statistics, the relationship between the mean, median, and mode is given by:

$\text{Mode} = 3 \times \text{Median} - 2 \times \text{Mean}$

Substitute the given values:

$\text{Mode} = 3 \times 23 - 2 \times 21 = 69 - 42 = 27$

Thus, the mode of the data is 27.