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Direct Method of Finding Mean

The following...

Question

The following table gives the distribution of expenditures of different families on education. Find the mean expenditure on education of a family.
Expenditure (in. Rs.)
No. of families
1000-1500
24
1500-2000
10
2000-2500
33
2500-3000
28
3000-3500
30
3500-4000
22
4000-4500
16
4500-5000
7
mean is 2823.53
If true then enter $1$ and if false then enter $0$

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Solution

$F o r g r o u p e d d a t a w h e n C l a s s I n t e r v a l i s g i v e n, w e f i n d t h e C l a s s M a r k . C l a s s M a r k = m i d p o i n t o f a n i n t e r v a l = \frac{(L o w e r l i m i t + U p p e r l i m i t)}{2} C l a s s M a r k i s t a k e n a s x_{i} f o r e a c h c l a s s i n t e r v a l, f i n d x_{i} f_{i} . N o w M e a n E x p e n d i t u r e = \frac{Σ x_{i} f_{i}}{Σ f_{i}} = \frac{480000}{170} = 2823.529 = R s .2823 .53$

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