Question

Question 1
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.

Answer 1

The number of goals scored by the team is 2, 3, 4, 5, 0, 1, 3, 3, 4, 3
$\text{Mean of data}=\frac{\text{Sum of all observations}}{\text{Total number of observations}}$
$\text{Mean score}=\frac{2+3+4+5+0+1+3+3+4+3}{10}$
$=\frac{28}{10}$
$=2.8$

Arranging the number of goals scored 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., 5th and $\frac{10}{2}+1$ i.e., 6th observation while arranged in ascending or descending order.
$\text{Median score}=\frac{\text{5th observation+6th observation}}{2}$
$=\frac{3+3}{2}$
$=\frac{6}{2}$
$=3$

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