If each observation of a distribution with standard deviation $\sigma$ is increased by $\lambda$,find the variance of the new observations.
- A$\sigma$
- B$\sigma + \lambda$
- C$\sigma^2$
- D$\sigma^2 + \lambda$
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Similar Questions
The standard deviation of the following distribution is:
$C$.$I$. $0$ - $6$ $6$ - $12$ $12$ - $18$ f_i $2$ $4$ $6$
| $C$.$I$. | $0$ - $6$ | $6$ - $12$ | $12$ - $18$ |
| f_i | $2$ | $4$ | $6$ |
For a frequency distribution,the standard deviation is computed by applying the formula:
Medium
View SolutionThe mean and standard deviation of $10$ observations are $20$ and $2$ respectively. Later on,it was observed that one observation was recorded as $50$ instead of $40$. Then the correct variance is:
DifficultJEE MAIN 2023
View SolutionThe variance of $50$ observations is $7$. Suppose that each observation in this data is multiplied by $6$ and then $5$ is subtracted from it. Then the variance of that new data is
For a set of $50$ observations,the sum of their squares is $3050$ and their arithmetic mean is $6$. Find the standard deviation of these observations.
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