Question

The number of toffees contained in each of the four jars are presented in the following table:

Jar 1	Jar 2	Jar 3	Jar 4
$89$	$74$	$25$	$8$

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

• A. $196$
• B. $49$
• C. $50$
• D. None of the above

Answer 1

The correct option is B $49$

We know,

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

Here, the average number of toffees in each jar
$=\frac{\text{Sum of toffees including four jars}}{\text{Total number of jars}}$

$=\frac{89+74+25+8}{4}$
$=\frac{196}{5}$
$=49$

Hence, the mean $49$ is the number of toffees that each of the four jars will contain after equal distribution.

$\underset{–}{\text{Notes:}}$

$\bullet$ We can see that the mean of the data points, i.e., $49$ lies between the smallest $\left(8\right)$ and the largest $\left(89\right)$ numbers of the data set, i.e., $8<49<89$.

$\bullet$ The mean, $49$ is NOT included in the given data set $\{89,74,25,8\}$.