The variance and mean of $15$ observations are respectively $6$ and $10$. If each observation is increased by $8$,then the new variance and new mean of the resulting observations are respectively:
- A$14, 10$
- B$14, 18$
- C$6, 18$
- D$6, 10$
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Similar Questions
Find the standard deviation for the following data:
${x_i}$
$3$
$8$
$13$
$18$
$23$
${f_i}$
$7$
$10$
$15$
$10$
$6$
| ${x_i}$ | $3$ | $8$ | $13$ | $18$ | $23$ |
| ${f_i}$ | $7$ | $10$ | $15$ | $10$ | $6$ |
Medium
View SolutionThe mean and variance of six observations are $8$ and $16$ respectively. If each observation is multiplied by $3$,then the new variance of the resulting observations is:
The variance of $^{10}C_0, ^{10}C_1, ^{10}C_2, \dots, ^{10}C_{10}$ is:
If the variance of $6, 7, 8, 9, 10, 11$ is $\sigma^2$,then the variance of $12, 14, 16, 18, 20, 22$ is
If $\sum_{i=1}^{10} (x_i - 15) = 12$ and $\sum_{i=1}^{10} (x_i - 15)^2 = 18$,find the standard deviation of the observations $x_1, x_2, \dots, x_{10}$.
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