Question

The number of goals scored by a hockey team in 13 matches are $0,1,0,2,3,0,3,4,2,0,2,1$and $3$. Find mean median and mode of the distribution.

Answer 1

Step 1: Finding the mean

We know that,

$Mean=\frac{Sumofalltheobservations}{Totalnumberofobservation}$

$=\frac{0+1+0+2+3+0+3+4+2+0+2+1+3}{13}$

$=\frac{21}{13}=1.6$

Step 2: Finding the median

Arranging the given data in ascending order

$0,0,0,0,1,1,2,2,2,3,3,3,4$

We can observe that total number of observation are odd i.e.; $13$.

So, median$=$ $\left(\frac{N+1}{2}\right)th$ observation.

$=$ $\left(\frac{14}{2}\right)th$ observation.

$=$$7th$ observation.

$=2$

Step 3: Finding the mode

By observing the data, we can see, $0$ is having the heighest frequency i.e.; $4$

So, the mode of given data is $0$.

Hence, the mean, median and mode of given distribution are $1.6,2$ and $0$ respectively.