Amit M Agarwal Solutions for Chapter: Statistics, Exercise 3: Target Exercises

Let $r$ be the range and $S^2=\frac{1}{n-1}\sum _{i=1}^n{\left(x_i-\overline{x}\right)}^2$ be the $SD$ of a set of observations $x_1, x_2,\dots , x_n$, then

The best statistical measure used for comparing the two series is

The sum of square of deviations for $10$ observations taken from mean $50$ is $250.$ The coefficients of variation is

For a given distribution of marks, mean is $35.16$ and its standard deviation is $19.76.$ The coefficient of variation is

The coefficient of variation of two series are $70$ and $90$ and their standard deviation are $17.5$ and $18$, respectively. The mean of two series are

The standard deviations of two sets containing $10$ and $20$ members are $2$ and $3$, respectively measured from their common mean $5.$ The $SD$ for the whole set of $30$ members is

One set containing five members has mean $8$, variance $18$ and the second set containing three members has mean $8$ and variance $24.$ The variance of combined set of numbers is

The mode of a moderately symmetrical series is $18$ and mean is $24.$ The median is