Find the mean and the median of the following set of numbers:
8, 0, 5, 3, 2, 9, 1, 5, 4, 7, 2, 5.
Solution:
In descending order
0, 1, 2, 2, 3, 4, 5, 5, 5, 7, 8, 9
n = 12 which is even
Mean (x̄) = Ʃ xi/n
= (0 + 1 + 2 + 2 + 3 + 4 + 5 + 5 + 5 + 7 + 8 + 9)/12
= 51/12
= 17/4
= 4.25
Median = ½ [12/2th + (12/2 + 1)th terms]
= ½ [6th + 7th terms]
= ½ (4 + 5)
= 9/2
= 4.5
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