Question

If in a frequency distribution, the mean and median are $21$ and $22$ respectively, then its mode is approximately

• A. $24.0$
• B. $25.5$
• C. $20.5$
• D. $22.0$

Answer 1

The correct option is A

$24.0$

Explanation for correct option:

Find the mode:

Given,

Mean $=21$ and Median$=22$

We know,

$$\begin{gathered} \mathbf{\text{Mode=3Median–2Mean}} \\ =3\left(22\right)-2\left(21\right) \\ =66–42 \\ =24 \end{gathered}$$

Hence, the correct option is A.