Embibe Experts Solutions for Chapter: Statistics, Exercise 1: EXERCISE-1

If $\sum _{i=1}^{10}\left(x_i-15\right)=12$ and $\sum _{i=1}^{10}{\left(x_i-15\right)}^2=18$, then the $\mathrm{S}.\mathrm{D}.$ of observations $x_1,x_2,\mathrm{........},x_{10}$ is:

The $\mathrm{S}.\mathrm{D}.$ of $7$ scored $1,2,3,4,5,6,7$ is:

The variance of series $a,a+d,a+2d,\mathrm{......},a+2nd$ is:

Variance is independent of change of-

If the coefficient of variation and standard deviation of a distribution are $50\%$ and $20$ respectively, then its mean is:

If each observation of a distribution whose $\mathrm{S}.\mathrm{D}.$ is $\sigma$, is increased by $\lambda$, then the variance of the new observations is:

The variance of $2,4,6,8,10$ is:

If each observation of a distribution, whose variance is ${\sigma }^2$, is multiplied by $\lambda$, then the $\mathrm{S}.\mathrm{D}.$ of the new observations is: