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 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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Similar questions

Q. Draw a cumulative frequency curve (less than type) for the following data and find the median from it:

Class interval	200-220	220-240	240-260	260-280	280-300	300-320
Frequency	7	3	6	8	2	4

Q. The daily expenditure of 100 families are given below. Calculate f₁ and f₂ if the mean daily expenditure is ₹188.

Expenditure (in ₹)	140−160	160−180	180−200	200−220	220−240
Number of families	5	25	f₁	f₂	5

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:

The following distribution gives the daily income of 50 workers of a factory.

Daily income (in Rs)	100 − 120	120 − 140	140 − 160	160 − 180	180 − 200
Number of workers	12	14	8	6	10

Convert the distribution above to a less than type cumulative frequency distribution, and draw its ogive.

Q. The following distribution gives the daily income of 50 workers of a factory:

Daily income (in Rs)	100-120	120-140	140-160	160-180	180-200
Number of workers	12	14	8	6	10

Write the above distribution as less than type cumulative frequency distribution.

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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

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