Question

Choose true or false for the following statement:
"The value of mean is always less than the smallest value of the data set."

• A. True
• B. False

Answer 1

The correct option is B False

Consider a data set which depicts the number of pencils sold each day for $5$ consecutive days. It can be represented as follows:


The mean of this data is calculated as,

$\begin{array}{cc}\text{Mean}& =\frac{\text{Sum of all data points}}{\text{Total number of data points}}\\ & =\frac{3+4+6+3+2}{5}\\ & =\frac{18}{5}\\ & =3.6\end{array}$

Thus, the mean of the number of pencils sold is greater than the smallest value in the data set.

Hence, the given statement is false.