Q.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?


Answer :

Given data:
6, 15, 120, 50, 100, 80, 10, 15, 8, 10, 15
Mean = sum of total observations / number of observations =
6+15+120+50+100+80+10+15+8+10+15/11 =429/11=39
Arranging the given data in increasing order, we get
6,8,10,10,15,15,15,50,80,100,120
Here, 15 occurs 3 times (highest)
Therefore Mode = 15
n = 11 (odd)
Therefore Median \(=\frac{11+1}{2} \)th term = 6th term = 15
Thus mean = 39, mode = 15 and median = 15
$$ No, they are not same. $$

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