Question

Calculate the standard deviation of the following data
Weekly expenditure 05 10 15 20 25
No. of students
6 16 28 38 46​

Answer 1

Answer:

Consider the following table, to calculate mean by "step deviation method":

xi=mid value of class interval

Assumed mean a=35

class interval c=10

 ci fi xi di=cxi−a  fidi 0−10 15 5 −3 −45 10−20 10 15 −2 −20 20−30 15 25 −1 −15 30−40 20 35 0 0 40−50 25 45 1 25 50−60 30 55 2 60 60−70 35 65 3 105

 N=Σfi=150          

 Σfidi=110

Mean x=a+N

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