Question

If for a sample of size 60, we have the following information ∑xᵢ²=18000 and ∑xᵢ=960, then the variance is​

Answer 1

Given :-

• size = 60 = n
• ∑xᵢ²=18000
• ∑xᵢ=960

To find :-

• variance = ?

Formula used :-

• variance = (∑xᵢ²/n) - (∑xᵢ/n)²

Solution :-

Putting given values in above told formula we get,

→ variance = (∑xᵢ²/n) - (∑xᵢ/n)²

→ variance = (18000/60) - (960/60)²

→ variance = 300 - (16)²

→ variance = 300 - 256

→ variance = 44 . (Ans.)

Hence, required variance is 44.

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