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
Verified Correct Answer: A.
Step-by-Step Mathematical Solution
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
Source: Myschool Past Questions Archive (Record #9083)