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# If 5, 8, 6 and 2 occur with frequencies 3, 2, 4 and 1 respectively, find the pro...

### Question

If 5, 8, 6 and 2 occur with frequencies 3, 2, 4 and 1 respectively, find the product of the modal and median number.

### Options

A) 36

B) 48

C) 30

D) 40

E) none of the options

The correct answer is A.

### Explanation:

Mode = 6
Arranging in order of magnitude: 2, 5, 5, 5, 6, 6, 6, 6, 8, 8
Media $$= \cfrac{6+6}{2} = 6$$
Product of mode and median $$= 6 \times 6 = 36$$

## Dicussion (1)

• Mode = 6
Arranging in order of magnitude: 2, 5, 5, 5, 6, 6, 6, 6, 8, 8
Media $$= \cfrac{6+6}{2} = 6$$
Product of mode and median $$= 6 \times 6 = 36$$