The monthly consumption of electricity (in units) of some families of a locality is given in the follwoing frequency distribution.

$\begin{matrix} M o n t h l y c o n s u m p t i o n (i n u n i t s) & 140 - 160 & 160 - 180 & 180 - 200 & 200 - 240 & 220 - 240 & 240 - 260 & 260 - 280 N u m b e r o f f a m i l i e s & 3 & 8 & 15 & 40 & 50 & 30 & 10 \end{matrix}$

Prepare a 'more than type'ogive for the given frequency distribution:

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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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Similar questions

Q. The following frequency distribution gives the monthly consumption of electricity of

68

consumers of a locality. In which class interval, the number of consumers are the highest?

Q. The following frequency distribution gives the monthly consumption of electricity of

68

consumers of a locality. Find the median, mean and mode of the data and compare them.

Monthly consumption (in units)	Number of consumers
65-85	4
85-105	5
105-125	13
125-145	20
145-165	14
165-185	8
185-205	4

The following frequency distribution gives the monthly consumption of electricity of 68 consumers of a locality.
Find the median of the data.

$\begin{matrix} Monthly consumption (in units) & Numbers of customers 65 - 85 & 4 85 - 105 & 5 105 - 125 & 13 125 - 145 & 20 145 - 165 & 14 165 - 185 & 8 185 - 205 & 4 \end{matrix}$

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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