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Question

The monthly consumption of electricity (in units) of some families of a locality is given in the following frequency distribution:
Monthly consumption (in units) 140−160 160−180 180−200 200−220 220−240 240260 260−280
Number of families 3 8 15 40 50 30 10

Prepare a 'more than type' ogive for the following frequency distribution. [CBSE 2014]

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Solution

The frequency distribution table of more than type is as follows:
Height (in cm) (lower class limits) Cumulative frequency (cf)
More than 140 3 + 153 = 156
More than 160 8 + 145 = 153
More than 180 15 + 130 = 145
More than 200 40 + 90 = 130
More than 220 50 + 40 = 90
More than 240 30 + 10 = 40
More than 260 10

Taking the lower class limits on x−axis and their respective cumulative frequencies on y−axis, its ogive can be obtained as follows:


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