Embibe Experts Solutions for Chapter: Statistics, Exercise 2: EXERCISE-2

If the mean of $n$ observations $1^2,2^2,3^2,......n^2$ is $\frac{46n}{11}$, then $n$ is equal to

The weighted mean of first $n$ natural numbers whose weights are equal, is:

The median of $19$ observations of a group is $30$. If two observations with values $8$ and $32$ are further included, then the median of the new group of $21$ observation will be

The coefficient of mean deviation from median of observations $40,62,54,90,68,76$ is :-

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 :-

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-

In any discrete series (when all the value are not same) the relationship between $\mathrm{M}.\mathrm{D}.$ about mean and $\mathrm{S}.\mathrm{D}.$ is-

Median of observations $x_{\mathit{i}}$ such that $\left(x_i^2-7x_i+12\right) \left(x_i^3-x_i^2-4x_i+4\right)=0$ will be :-