The table given below shows the weekly expenditures on food of some households in a locality.


Weekly expenditure (in Rs.)



Number of households



100 - 200



5



200 - 300



6



300 - 400



11



400 - 500



13



500 - 600



5



600 - 700



4



700 - 800



3



800 - 900



2



Draw a 'less than type ogive' and a 'more than type ogive' for this distribution.

The frequency distribution table for ‘less than’ type is:


MARKS



CUMULATIVE FREQUENCY (Cf)



Less than 200



5



Less than 300



5 + 6 = 11



Less than 400



11 + 11 = 22



Less than 500



22 + 13 = 35



Less than 600



35 + 5 = 40



Less than 700



40 + 4 = 44



Less than 800



44 + 3 = 47



Less than 900



47 + 2 = 49



Lets plot the graph of ‘less than ogive’, taking upper limits of the class intervals on x - axis and cumulative frequencies on y - axis.



The frequency distribution table for ‘more than’ type is:


MARKS



CUMULATIVE FREQUENCY (Cf)



more than 100



44 + 5 = 49



more than 200



38 + 6 = 44



more than 300



27 + 11 = 38



more than 400



14 + 13 = 27



more than 500



9 + 5 = 14



more than 600



5 + 4 = 9



more than 700



2 + 3 = 5



more than 800



2



Lets plot a graph of ‘more than’ ogive, taking lower limits of the class intervals on x - axis and cumulative frequencies on y - axis.



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