Question

Find the class limits corresponding to each frequency if the mean of the following distribution is 33 and assumed mean 35 :

Answer 1

Here, we are given `barx` =33 and a=35

Now, ` "mean"barx=a+(sumf_(i)u_(i))/(sumf_(i))xxh`
`33=35+(-20)/(100)xxh`
`rArr -200=-20h " " rArr =10`
No w, `"if" u_(i)=-3rArr(x_(i)-35)/(10)=-3x_(i)-35=-30rArrx_(i)=5` and width i.e., 10 So, class limits of first group is 0-10 (substract and add `(h)/(2)` from lower and upper boundaries) if `u_(i)=-rArr(x_(i)-35)/(10)=-2rArr-35=-20x_(i)=15` and width i.e., h=10 So, class limits of second group is 10-20 (subtract and add `(h)/(2)` from lower and upper boundaries). Simliarly. class limits of other groups are 20-30,30-40,40-50, and 50-60