Question

For the given data below, calculate the mean, mode, and median.
$6,2,5,4,3,4,4,2,3$

Answer 1

Rearranging the data into ascending order, we get

$2,2,3,3,4,4,4,5,6$

The total numbers of observations are equal to $9$, which is odd. Hence, ${\left(\frac{9+1}{2}\right)}^{th}=5^{th}$ term will be the median of the data.

Hence, the median is equal to $4$.

The data whose frequency is maximum is known as the mode of the data so, $4$ occurs $3$ times which is a maximum occurrence than any other data hence, the mode of the data is $4$.

Now,by using the relation between mean mode and median of a data,

$\text{Mean}=\frac{3\cdot \text{Median}-\text{Mode}}{2}$

$=\frac{3\cdot 4-4}{2}$

$=4$

Hence, the mean, mode, and median of the data is $4$.