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Find the mean and variance for the following frequency distrib

Question

Find the mean and variance for the following frequency distribution
Classes 0-30 30-60 60-90 90-120 120-150 150-180 180-210
Frequencies 2 3 5 10 3 5 2

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Find the mean and variance for the following frequency distribution

Classes	0-30	30-60	60-90	90-120	120-150	150-180	180-210
Frequencies	2	3	5	10	3	5	2

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Text solutionVerified

Here,

N = 30, h = 30

Mean,

\overset{x}{ˉ} = A + \frac{\sum _{i = 1}^{7} f _{i} u _{i}}{N} \times h

= 105 + \frac{2}{30} \times 30

= 105 + 2 = 107

Variance

(σ^{2}) = \frac{h ^{2}}{N ^{2}} ⎣ ⎡ N i = l \sum 7 f_{i} u_{i}^{2} - (i = l \sum 7 f_{i} u_{i})^{2} ⎦ ⎤

\frac{( 30 ) ^{2}}{( 30 ) ^{2}} [30 \times 76 - (2)^{2}]

= 2280 - 4

= 2276

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Question Text	Find the mean and variance for the following frequency distribution
Answer Type	Text solution:1
Upvotes	151