Find the mean and the median of all the (positive) factors of 48.
Solution:
Positive factors of 48 are
1, 2, 3, 4, 6, 8, 12, 16, 24, 48
Here N = 10 which is even
Mean (x̄) = Ʃ xi/ n
= (1 + 2 + 3 + 4 + 6 + 8 + 12 + 16 + 24 + 48)/10
= 124/10
= 12.4
Median = ½ [10/2 th + (10/2 + 1)th terms]
= ½ [5th + 6th terms]
= ½ (6 + 8)
= 14/2
= 7
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