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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


Answer :

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.

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