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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

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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 – 240 240 – 260 260 – 280
Number of
families
3 8 15 40 50 30 10

Prepare a ‘more than type’ ogive for the given frequency distribution.

Graph
Sum
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Solution

The frequency distribution table of more than type is as follows:

Height (in cm) (lower class limit) 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 of on x-axis and their respective cumulative frequencies ony-axis, its ogive can be drawn as follows:

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Chapter 18: Mean, Median, Mode of Grouped Data, Cumulative Frequency Graph and Ogive - EXERCISE 18E [Page 893]

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R.S. Aggarwal Mathematics [English] Class 10
Chapter 18 Mean, Median, Mode of Grouped Data, Cumulative Frequency Graph and Ogive
EXERCISE 18E | Q 5. | Page 893
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