If the variance of the distribution is $45.8$,then find the variance of the distribution given below:
$x_i$ $4$ $8$ $11$ $17$ $20$ $24$ $32$ $f_i$ $3$ $5$ $9$ $5$ $4$ $3$ $1$
$y_i$ $10$ $18$ $24$ $36$ $42$ $50$ $66$ $f_i$ $3$ $5$ $9$ $5$ $4$ $3$ $1$
| $x_i$ | $4$ | $8$ | $11$ | $17$ | $20$ | $24$ | $32$ |
|---|---|---|---|---|---|---|---|
| $f_i$ | $3$ | $5$ | $9$ | $5$ | $4$ | $3$ | $1$ |
| $y_i$ | $10$ | $18$ | $24$ | $36$ | $42$ | $50$ | $66$ |
|---|---|---|---|---|---|---|---|
| $f_i$ | $3$ | $5$ | $9$ | $5$ | $4$ | $3$ | $1$ |
- A$93.6$
- B$\sqrt{93.9}$
- C$183.2$
- D$\sqrt{183.2}$
Explore More
Similar Questions
$\text{Assertion (A):}$ Variance of $4x_1, 4x_2, \ldots, 4x_n$ is $16$ times the variance of $x_1, x_2, \ldots, x_n$. $\text{Reason (R):}$ If $y = ax + b$,then variance of $y$ is $a(\text{variance of } x) + b$. The correct option among the following is
If the sum of squares of deviations of $10$ observations from their mean $50$ is $250$,what is the coefficient of variation?
Medium
View SolutionThe variance of $50$ observations is $7$. Suppose that each observation in this data is multiplied by $6$ and then $5$ is subtracted from it. Then the variance of that new data is
If the variance of four numbers $w, x, y,$ and $z$ is $9$,then the variance of $5w, 5x, 5y,$ and $5z$ is:
The mean of a distribution is $4$. If its coefficient of variation is $58\%$,what is the standard deviation of the distribution?
Easy
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