Question

The variance of first 50 even natural numbers is ______.

विकल्प

• 437

• `437/4`

• `833/4`

• 833

Answer 1

The variance of first 50 even natural numbers is 833.

Explanation:

50 even natural numbers are 2, 4, 6.... 100

Variance = `(sumx_1^2)/"N" - (barx)^2`

σ² = `(2^2 + 4^2 + .... + 100^2)/50 - ((2+4+.... +  100)/50)^2`

= `4((1^2+2^2+3^2+.... +  50^2)/50)-(51)^2`

= `4((50 xx 51 xx 101)/(50 xx 6)) - (51)^2`

= 3434 – 2601

σ² = 833