The points scored by a Kabaddi team in a series of matches are as follow:
17, 2, 5, 27. 15. 8. 14, 10, 48, 10, 7, 24, 8, 28, 18.
Find the mean and the median of the points scored by the Kabaddi team
Solution:
Let’s arrange the given data in descending order:
2, 5, 7, 7, 8, 8, 10, 10, 14, 15, 17, 18, 24, 27, 28, 48
Here, n = 16 when is even
∴ Mean (x̄)
Ʃ xi/ n = (2 + 5 + 7 + 7 + 8 + 8 + 10 + 10 + 14 + 15 + 17 + 18 + 24 + 27 + 28 + 48)/15
= 248/16 = 15.5 points
And,
Median = ½ [(16/2)th term + (16/2 + 1)th term]
= ½ (8th term + 9th term)
= ½ (10 + 14)
= ½ x 24 = 12 points
Hence, the mean and the median of the points scored by the Kabaddi team are 15.5 and 12 respectively.
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