Question

# The variance of first $$50$$ even natural numbers is

A
8334
B
833
C
437
D
4374

Solution

## The correct option is A $$833$$$$\sigma ^{2}=\left (\displaystyle \frac{\Sigma x_{i}^{2}}{n} \right )-\bar{x}^{2}$$$$\displaystyle \bar{x}=\frac{\sum_{r=1}^{50}2r}{50}=51$$$$\sigma ^{2}= \displaystyle \frac{\sum_{r=1}^{50}4r^{2}}{50}-(51)^{2}=833$$Maths

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