Q.

Calculate variance for the following distribution.

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answer is 201.

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Detailed Solution

Let the assumed mean A = 65. Here, h = 10. We obtain the following table from the given data.  Therefore x¯=A+∑fiyi50×h=65−1550×10=62 Variance σ2=h2N2NΣfiyi2−Σfiyi2 =(10)2(50)250×105−(−15)2 =125[5250−225]=201
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