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If 5 8 6 and 2 occur with frequencies 3 2 4 and... - JAMB Mathematics 2007 Question

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
A
36
B
48
C
30
D
40
correct option: a

Arrange in ascending order

2, 5, 5, 6, 6, ,6, 6, 8, 8

Position of median = N/2 = 8/2 = 4th and 5th

∴Median = (6+6) / 2 = 12/2 = 6

Mode the item that repeat itself most = 6

∴Product of modal and median number = 6 x 6 = 36

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