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

Mean deviation from the mean for the observations $-1, 0, 4$ is

If $\overline{X}$ is the mean of $x_1, x_2, x_3\dots \dots x_n.$ Then the algebraic sum of the deviations about mean $\overline{X}$ is

The mean $\&$ variance of $7$ observations are $8, 16$, respectively. If $5$ of the observations are $2, 4, 10, 12, 14$, then the LCM of remaining two observations is

The mean of distribution is $4$ if coefficient of variation is $58\%$, then standard deviation of distribution is

Standard deviation is independent of

What is standard deviation of the set of observations $32, 28, 29, 30, 31$?

If the standard deviation of $x_1, x_2, \dots ..x_n$ is $3.5,$ then the standard deviation of $-2x_1-3,-2x_2-3,\dots .-2x_n-3$ is

The marks of some students were listed out of a maximum $100$. The standard deviation of marks was found to be $9$. Subsequently the marks raised to a maximum of $150$ and standard deviation of new marks was calculated. The new standard deviation