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  • The mean and standard deviation of 10 observations are 20 and 8 respectively. Later on, it was observed that one observation was recorded as 50 instead of 40. Then the correct variance is</p

The mean and standard deviation of 10 observations are 20 and 8 respectively. Later on, it was observed that
one observation was recorded as 50 instead of 40. Then the correct variance is

Option: 1

14


Option: 2

11


Option: 3

12


Option: 4

13


Answers (1)

best_answer

\begin{aligned} & \mu=20, \sigma=8 \\ & \mu_{\text {Comocid }}=\frac{200-50+40}{10}=19 \\ & \sigma^2=\frac{1}{10} \sum x_i^2-20^2 \\ & (64+400) 10=\sum x_i^2 \\ & \sigma_{\text {Comriad }}^2=\frac{1}{10}[(64+400) 10-2500+1600]-19^2 \\ & =374-361=13 \end{aligned}

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SANGALDEEP SINGH

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