Find the mean, and standard deviation for the following data: Yea… - Vidyadip

Question

Find the mean, and standard deviation for the following data:

Year render:	10	20	30	40	50	60
No. of persons(cumulative):	15	32	51	78	97	109

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Answer

x	Cum Freq	$f_i$	$f_ix_i$	$f_ix_i^2$
10	15	15	150	1500
20	32	17	340	6800
30	51	19	570	17100
40	78	27	1080	43200
50	97	19	950	47500
60	109	12	720	43200
		N = 109	Total = 3810	Total = 159300

Mean $=\frac{3810}{109}=34.95$
Var $=\frac{159300}{109}-(34.95)^2=239.96$
SD $=\sqrt{239.96}=15.49$

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