If each of given $n$ observations is multiplied by a certain positive number $k$,then for the new set of observations -

  • A
    variance will be unchanged.
  • B
    new variance will be $k$ times old variance.
  • C
    standard deviation will be unchanged.
  • D
    new standard deviation will be $k$ times old standard deviation.

Explore More

Similar Questions

Find the mean and variance for the first $n$ natural numbers.

Difficult
View Solution

If the standard deviation of the numbers $-1, 0, 1, k$ is $\sqrt{5}$ where $k > 0$,then $k$ is equal to

Find the coefficient of variation for the given observations: $10, 14, 11, 9, 8, 12, 6$. (in $\%$)

The variance of $20$ observations is $5$. If each observation is multiplied by $3$ and then $8$ is added to each number,then the variance of the resulting observations is:

The variance of $20$ observations is $5$. If each of the observations is multiplied by $2$,then the variance of the resulting observations is:

Vedclass Products

For Students

Vedclass Test Series

Mock tests in real JEE/NEET style with performance analysis. 5-day free trial.

Start Free Trial
For Teachers

Exam Paper Generator

Generate Set A/B/C/D exam papers from 7.5L+ questions in 2 minutes. 3 chapters free.

Try Free
For Institutes

Online Exam Module

Live online exams with unlimited students, 360° analytics & white-label branding.

See Demo