Question

The table below shows the daily expenditure on food of 30 households in a locality. Daily expenditure (in Rs) 100 − 150 150 − 200 200 − 250 250 − 300 300 − 350 Number of households 6 7 12 3 2 Find the mean daily expenditure on food by a suitable method.

Answer 1

Answer:

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Answer 2

Answer:

The mean daily expenditure on food is 204.83

Step-by-step explanation:

Explanation :

Given, class interval : 100-150,150-200,200-250,250-300,300-350

                    frequency : 6,7,12,3,2

Formula of mean = $\frac{\sum{fixi}}{\sum{f}}$

Therefore , $\sum{f}$ = 30

Now find xi , which is the sum of two consecutive number divided by 2.

xi :125,175,225,275,325

So, fixi : 750,(1,225),(2,700),(825), 646

$\sum{fixi} = 6,145$

Step1:

Now put the value of $\sum{f} and \sum{fixi}$ in the mean formula

∴Mean = $\frac{\sum{fixi}}{\sum{f}}$ = $\frac{6145}{30}$ = 204.83

Final answer :

Hence , the mean daily expenditure on food is 204.83