JAMB - Mathematics (2007 - No. 1)
If 5, 8, 6 and 2 occur with frequencies 3, 2, 4 and 1 respectively. Find the product of the modal and the median number
36
48
30
40
Explanation
Arrange in ascending order
2, 5, 5, 5, 6, 6, 6, 6, 8, 8
Position of median = N/2 = 10/2 = 5th and 6th
∴Median = (6+6) / 2 = 12/2 = 6
Mode the item that repeats itself most = 6
∴Product of modal and median number = 6 x 6 = 36
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