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# 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

The number of goals scored by the team is

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

We know that,
Mean of data
= $$\frac{Sum of all observations}{Total number of observations}$$
Thus, Mean score
= $$\frac{2 + 3 + 4 + 5 + 0 + 1 + 3 + 3 + 4 + 3}{10} = \frac{28}{10}$$
= 2.8 goals

Now, Arranging the number of goals in ascending order, we get,

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

Hence, 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.
i.e., Median score
= $$\frac{5th observation + 6th observation}{2}$$
$$= \frac{3 + 3}{2}$$
$$= \frac{6}{2}$$
$$= 3$$

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

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