The variance of $\alpha$,$\beta$,and $\gamma$ is $9$. Then,the variance of $5\alpha$,$5\beta$,and $5\gamma$ is:

  • A
    $45$
  • B
    $9/5$
  • C
    $5/9$
  • D
    $225$

Explore More

Similar Questions

The mean and variance of a series of $5$ observations are $8$ and $24$ respectively. The mean and variance of another series of $3$ observations are $8$ and $24$ respectively. What is the variance of their combined series?

Difficult
View Solution

Calculate the mean,variance,and standard deviation for the following distribution.
Classes $30-40$ $40-50$ $50-60$ $60-70$ $70-80$ $80-90$ $90-100$
Frequency $({f_i})$ $3$ $7$ $12$ $15$ $8$ $3$ $2$

Difficult
View Solution

The standard deviation of $a, a+d, a+2 d, \ldots, a+2 n d$ is

The mean of $100$ observations is $50$ and their standard deviation is $5$. Then,the sum of the squares of all the observations is:

Find the variance of the sequence $a, a + d, a + 2d, \dots, a + 2nd$.

Difficult
View Solution

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