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

For the values $x_1,x_2\dots \dots x_{101}$ of a distribution $x_1<x_2<x_3<\dots \dots <x_{100}<x_{101}$. The mean deviation of this distribution with respect to a number $k$ will be minimum when $k$ is equal to-

A group of $10$ observations has mean $5$ and standard deviation as $2\sqrt{6}$. another group of $20$ observations has mean $5$ and standard deviation as $3\sqrt{2}$, then the standard deviation of combined group of $30$ observations is :-

The $\mathrm{S}.\mathrm{D}.$ of the numbers $31,32,33, \dots , 47$ is-

The variance of $2,4,6,8,10$ is:

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

The variance of observations $112,116,120,125,132$ is:

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

If the standard deviation of the numbers $2,3,a$ and $11$ is $3.5$, then