-
The frequency distribution data is given below. If the average age is 17 years, the value of m is
Age (in years) : 8 20 26 29 Number of people : 3 2 m 1
-
- 1
- 2
- 3
- 4
- 1
Correct Option: A
As per the given details in question , we have
| Required average = | 8 × 3 + 20 × 2 + 26 × m + 29 × 1 |
| 3 + 2 m + 1 |
| ⇒ 17 = | 24 + 40 + 26m + 29 |
| 6 + m |
⇒ 17 (6 + m) = 93 + 26 m
⇒ 102 + 17m = 93 + 26m
⇒ 26m – 17m = 102 - 93
⇒ 9m = 9
⇒ m = 1
