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Question

Question 6
The table below shows the daily expenditure on food of 25 households in a locality.

Daily expenditure (in Rs)100150150200200250250300300350Number of households451222

Find the mean daily expenditure on food by a suitable method.

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Solution

We may calculate the class mark (xi) for each interval by using the relation:

xi =Upper class limit + lower class limit2

Class size = 50

Now, taking 225 as assumed mean a, we may calculate di,ui,fiui as following:

Daily expenditure (in Rs)fixidi=xi225ui=xi225hfiui100150412510028150200517550152002501222500025030022755012300350232510024Total25 7

Now, we may observe that –

fi=25fiui=7Mean ¯x=a+(fiuifi)×h=225+(725)×(50)=22514=211

So, mean daily expenditure on food is Rs.211.


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