Find the mean deviation from the mean for the following data :Classes0

Find the mean deviation from the mean for the following data :Classes0-100100-200200-300300-400400-500500-600600-700700-800Frequencies489107543

Answer»

Given, Numbers of observations are given.

To Find: Calculate the Mean Deviation

Formula Used: Mean Deviation = \(\frac{\Sigma f|d_i|}{n}\)

Explanation.

Here we have to calculate the mean deviation from the mean. So,

Mean = \(\Sigma \frac{f_ix_i}{n}\)

Here, Mean = \(\frac{17900}{50}\)

Therefore, Mean = 358

Class Interval	X_i	F_i	F_iX_i	d_i=(x_i-Mean)	F_id_i
0-100	50	4	200	308	1232
100-200	150	8	1200	208	1664
200-300	250	9	2250	108	972
300-400	350	10	3500	8	80
400-500	450	7	3150	92	644
500-600	550	5	2750	192	960
600-700	650	4	2600	292	1168
700-800	750	3	2250	392	1176
		Total = 50	Total = 17900		Total = 7896

Mean Deviation = \(\frac{\Sigma f|di|}{N}\)

Mean deviation for given data \(\frac{7896}{50}\) = 157.92

Hence, The Mean Deviation is 157.92

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Find the mean deviation from the mean for the following data :Classes0-100100-200200-300300-400400-500500-600600-700700-800Frequencies489107543

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