Question

Mean, Median and Mode may be the same for some data. Say true or false

• A. True
• B. False

Answer 1

The correct option is A True

Compute whether the mean, median, and mode can be the same in the same data:

Let us consider the data $2,1,2,1,2,4,2.$

$$\begin{gathered} \mathrm{Mean}=\frac{\mathrm{Sum}\mathrm{of}\mathrm{elements}}{\mathrm{Number}\mathrm{of}\mathrm{elements}} \\ \mathrm{Mean}=\frac{14}{7}=2 \end{gathered}$$

$\mathrm{Mode}=2$

Arrange the given data in ascending order.

$$\begin{gathered} 1,1,2,2,2,2,4 \\ \mathrm{Median}=2 \end{gathered}$$

Hence the given statement is true.