Question

The numbers of toffees contained in each of the five jars are presented in the following table:

Jar 1	Jar 2	Jar 3	Jar 4	Jar 5
$10$	$30$	$50$	$25$	$40$

Thomas wants to equally distribute the toffees in five jars. After equal distribution, how many toffess each of the five jars will contain?

• A. $155$
• B. $31$
• C. $775$
• D. None of the above

Answer 1

The correct option is B $31$

We know,
$\text{Mean}=\frac{\text{Sum of all data points}}{\text{Total number of data points}}$

Here,
Average number of toffees in one jar $=\frac{\text{Sum of toffees including five jars}}{\text{Total number of jars}}$

$=\frac{10+30+50+25+40}{5}$
$=\frac{155}{5}=31$

Hence, the mean $31$ is the number of toffees that each of the five jars will contain after equal distribution.

$\underset{–}{\text{Notes:}}$

$\bullet$ We can see that the mean of the data points, i.e., $31$ lies between the smallest $\left(10\right)$ and the largest $\left(50\right)$ numbers of the data set, i.e., $10<31<50$.

$\bullet$ The mean, $31$ is NOT included in the given data set $\{10,30,50,25,40\}$.