the table below shows daily expenditure on food of 25 household in a locality. find the median class of given data.
Answers
Correct Question :- the table below shows daily expenditure on food of 25 household in a locality. find the mean class of given data.
Given :-
Daily expenditure (in Rs) :- 100 - 150 150 - 200 200 - 250 250 - 300 300 - 350
Number of households :- 4 5 12 2 2 .
To Find :-
- Mean of class ?
Solution :-
fi xi di ui fiui
100 − 150 4 125 -100 -2 -8
150 − 200 4 175 -50 -1 -5
200 − 250 4 225 0 0 0
250 − 300 4 275 50 1 2
300 − 350 4 325 100 2 4
Total :- 25 -7
from data we get :-
- a = 225
- h = 50
- sum of fi*ui = (-7)
- sum of fi = 25
Mean :-
- a + (sum of fi * ui /sum of fi ) * h
Putting all values we get,
→ Mean = 225 + (-7/25)*50
→ Mean = 225 + (-7) * 2
→ Mean = 225 - 14
→ Mean = 211. (Ans.)
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