Variance of first $2n$ natural numbers is
- A$\frac{4n^2+1}{12}$
- B$\frac{(2n-1)^2}{12}$
- C$\frac{n^2}{3}-1$
- D$\frac{4n^2-1}{12}$
Explore More
Similar Questions
If the standard deviation of $x_i$ is $10$,what will be the variance of $(50 + 5x_i)$?
Easy
View SolutionThe variance of the following data is:
$x_i$ $6$ $10$ $14$ $18$ $24$ $28$ $30$ $f_i$ $2$ $4$ $7$ $12$ $8$ $4$ $3$
| $x_i$ | $6$ | $10$ | $14$ | $18$ | $24$ | $28$ | $30$ |
|---|---|---|---|---|---|---|---|
| $f_i$ | $2$ | $4$ | $7$ | $12$ | $8$ | $4$ | $3$ |
The variance of the first $20$ natural numbers is
If the variance of observations $x_1, x_2, \dots, x_n$ is $\sigma^2$,then the variance of $ax_1, ax_2, \dots, ax_n$,where $a \neq 0$,is
Easy
View SolutionFind the variance of the following frequency distribution.
$Class$ $0-2$ $2-4$ $4-6$ $6-8$ $8-10$ $10-12$ $f_i$ $2$ $7$ $12$ $19$ $9$ $1$
| $Class$ | $0-2$ | $2-4$ | $4-6$ | $6-8$ | $8-10$ | $10-12$ |
|---|---|---|---|---|---|---|
| $f_i$ | $2$ | $7$ | $12$ | $19$ | $9$ | $1$ |
Difficult
View SolutionVedclass Products
For Students
Vedclass Test Series
Mock tests in real JEE/NEET style with performance analysis. 5-day free trial.
Start Free TrialFor Teachers
Exam Paper Generator
Generate Set A/B/C/D exam papers from 7.5L+ questions in 2 minutes. 3 chapters free.
Try FreeFor Institutes
Online Exam Module
Live online exams with unlimited students, 360° analytics & white-label branding.
See Demo