If each of given $n$ observations is multiplied by a certain positive number $k$,then for the new set of observations -
- Avariance will be unchanged.
- Bnew variance will be $k$ times old variance.
- Cstandard deviation will be unchanged.
- Dnew standard deviation will be $k$ times old standard deviation.
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The variance for the first six prime numbers greater than $5$ is
In a series of $2n$ observations,half of them are equal to $a$ and the remaining half are equal to $-a$. If the standard deviation of the observations is $2$,then $|a|$ equals:
DifficultAIEEE 2004
View SolutionThe mean of $5$ observations is $15$ and variance is $9$. If two observations having values $-5$ and $13$ are combined with these observations,then what will be the new variance?
If $A$ and $B$ are the variances of the first $n$ even numbers and the first $n$ odd numbers respectively,then:
The variance of the observations $112, 116, 120, 125, 132$ is $......$
Medium
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