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 :