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 No. of people : 3 2 m 1

Answer: Option A

According to the question,

Age (in year)	:	8	20	26	29
No. of people	:	↓×3	+↓×2	+↓×m	+↓×1	= 6 + m
Total	:	24	+40	+26m	+29	= 93 + 26m

Average = $$\frac{93+26m}{6+m}$$   = 17
⇒ 93 + 26m = 102 + 17m
⇒ 9m = 9
⇒ m = 1