List of top Mathematics Questions on Variance and Standard Deviation asked in COMEDK UGET

The variance of a set of 20 observations is \(16\). If \(7\) is added to each observation, and then \(5\) is subtracted from each resulting observation, what will be the new standard deviation?

If the mean and variance of the numbers $2, 4, 6, 8, 10$ are $\mu$ and $\sigma^2$ respectively, then the value of $\mu + \sigma^2$ is:

The standard deviation of 100 observations is 10. If 20 is added to each observation, then what will be the new standard deviation?

If the standard deviation of \( 0,1,2,3,\ldots,9 \) is \( k \), then the standard deviation of \( 10,11,12,13,\ldots,19 \) will be:

The variance of 25 observations is 8. If each observation is multiplied by 3, then the new variance of the resulting observations is