Measures of Dis...

Fisher Price Index Number = ?

Find the mean and standard deviation of the following observations: X $=2, 5, 7, 8, 13$.

Let ${ x }_{ 1 },{ x }_{ 2 },.....{ x }_{ n }$ be $n$ observations with mean $m$ and standard deviation $s$. Then the standard deviation of the observations $a{ x }_{ 1 },a{ x }_{ 2 },.....a{ x }_{ n }$, is

If a variable $x$ takes values $0,1,2,....n$ with frequencies proportional to the binomial coefficients ${ _{  }^{ n }{ C } }_{ 0 },{ _{  }^{ n }{ C } }_{ 1 },{ _{  }^{ n }{ C } }_{ 2 },......{ _{  }^{ n }{ C } }_{ n }$, then mean of distribution is 

If the mean deviation about mean $1,1+d,1+2d,....1+100d$ from their mean is $255$, then the $d$ is equal to 

The mean deviation of the series $a,a+d,a+2d+......,a+(2n-1)d,a+2nd$ about the mean is

Consider the frequency distribution

If a variable $X$ takes values $0,1,2,....,n$ with frequencies ${ _{  }^{ n }{ C } }_{ 0 },{ _{  }^{ n }{ C } }_{ 1 },{ _{  }^{ n }{ C } }_{ 2 },......{ _{  }^{ n }{ C } }_{ n }\quad$ respectively, then S.D. is equal to :

Mean deviation for $n$ observations ${ x }_{ 1 },{ x }_{ 2 },.....{ x }_{ n }$ from their mean $\bar { X }$ is given by:

The Mean deviation about A.M. of the numbers $3, 4, 5, 6, 7$ is :