The following number of goals were 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.

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(D) 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 = $\frac{2+3+4+5+0+1+3+3+4+3}{10} = \frac{28}{10} = 2.8$ goals.
Arranging the number of goals in ascending order:
$0, 1, 2, 3, 3, 3, 3, 4, 4, 5$
The number of observations is $n = 10$,which is an even number.
Therefore,the median is the mean of the $(\frac{n}{2})^{th}$ and $(\frac{n}{2} + 1)^{th}$ observations.
Median = $\frac{5^{th} \text{ observation} + 6^{th} \text{ observation}}{2} = \frac{3 + 3}{2} = \frac{6}{2} = 3$.
Mode is the observation with the maximum frequency.
In the given data,the value $3$ appears $4$ times,which is the maximum frequency.
Therefore,the mode is $3$.

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