# 2. The runs scored in a cricket match by 11 players is as follows:        6, 15, 120, 50, 100, 80, 10, 15, 8, 10, 15      Find the mean, mode and median of this data. Are the three same?

Runs scored in the match = $6, 15, 120, 50, 100, 80, 10, 15, 8, 10, 15$

Arranging in ascending order = $6, 8, 10, 10, 15, 15, 15, 50, 80, 100, 120,$

Here, 15 occurs the maximum number of times. Hence, 15 is the mode of the data

Now,

$Mean =\frac{Sum\ of\ scores}{Number\ of\ players}$

$\\ = \frac{6+ 8+ 10+ 10+ 15+ 15+ 15+ 50+ 80+ 100+ 120}{11} \\ = \frac{429}{11} = 39$

Therefore the mean score is $39$

Now, the median is the middle observation of the data.

There are 11 terms. Therefore the middle observation is $\frac{11+1}{2} = 6^{th }\ term$

Therefore, 15 is the median of the data.

No, they are not the same.

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