**Question.**

The following number of goals was scored by a team in a series of 10 matches:

2, 3, 4, 5, 0, 1, 3, 3, 4, 3

Find the mean, median and mode of these scores.

**Solution:**

The number of goals scored by the team is

2, 3, 4, 5, 0, 1, 3, 3, 4, 3

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

Mean score $=\frac{2+3+4+5+0+1+3+3+4+3}{10}$

$=\frac{28}{10}=2.8$

$=2.8 \mathrm{goals}$

Arranging the number of goals in ascending order,

0, 1, 2, 3, 3, 3, 3, 4, 4, 5

The number of observations is 10 , which is an even number. Therefore, median score will be the mean of $\frac{10}{2}$ i.e., $5^{\text {th }}$ and $\frac{10}{2}+1$ i.e., $6^{\text {th }}$ observation while arranged in ascending or descending order.

Median score $=\frac{5^{\text {th }} \text { observation }+6^{\text {th }} \text { observation }}{2}$ $=\frac{3+3}{2}$

$=\frac{6}{2}$

$=3$

Mode of data is the observation with the maximum frequency in data.

Therefore, the mode score of data is 3 as it has the maximum frequency as 4 in the data.

Free Study Material