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Question

# An economic survey revealed that 30 families in a town incur following expenditure in a day (rupees). 11 12 14 16 16 17 18 18 20 20 20 21 21 22 22 23 23 24 25 25 26 27 28 28 31 32 32 33 36 38 (i) Convert these data in the form of a frequency distribution, using the following class intervals. 10−14, 15−19, 20−24, 25−29, 30−34 and 35−39. (ii) How many families spend more than 29 rupees a day?

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Solution

## i) ii) Number of families spending more than Rs 29 per day = 4+2 = 6 Thus, there are 6 families that spend more than Rs 29 per day. Percentage of families spending more than Rs 29 $=\frac{\mathrm{Number}\mathrm{of}\mathrm{families}\mathrm{spending}\mathrm{more}\mathrm{than}\mathrm{Rs}29}{\mathrm{Total}\mathrm{number}\mathrm{of}\mathrm{families}}×100\phantom{\rule{0ex}{0ex}}=\frac{6}{30}×100=20%\phantom{\rule{0ex}{0ex}}\mathrm{Thus},20%\mathrm{of}\mathrm{the}\mathrm{families}\mathrm{spend}\mathrm{more}\mathrm{than}\mathrm{Rs}29\mathrm{per}\mathrm{day}.$

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