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 Answer: 36
Explanation
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
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
