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

Which of the following is the merit of range?

The sum and the sum of squares of length $x$ in (cm) and weight $y$ (in g) of $50$ plant products are given below: 

$\sum _{i=1}^{50}{x}_i=212,\sum _{i=1}^{50}{x}_i^2=902.8,\sum _{i=1}^{50}{y}_i=261 \mathrm{and} \sum _{i=1}^{50}{y}_i^2=1457.6$

Which is more variable, the length or weight? 

The mean and variance of five observations are $4.4$ and $8.24$ respectively. If three of these are $1,2$ and $6$, find the other two observations.

The mean and standard deviations of a group of $100$ observations were found to be $20$ and $3$ respectively. Later on it was found that three observations $21,12$ and $18$ were incorrect. Find the mean and standard deviation if the incorrect observations were omitted. 

The mean and variance of five observations are $6$ and $4$ respectively. If three of these are $5,7$ and $9$, find the other two observations.

Find  standard deviation for the given data $6, 5, 9, 13, 12, 8, 10$ 

Find the variance of the data $2, 4, 6, 8, 10$ is

Number of patients who visited cardiologists are $13, 17, 11, 15$ in four days then find the variance for the given data