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Measure of Dispersion

Represent the...

Question

Represent the following data using a frequency curve.

Electricity bill in a month (in Rs) 200-400 400-600 600-800 800-1000

No. of families 362 490 185 63

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Solution

Class mark 100 300 500 700 900 1100

No. of families 0 362 490 185 63 0

The frequency curve is shown below.

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Show the following data by a frequency polygon.

Electricity bill (Rs)	0 - 200	200 - 400	400 - 600	600 - 800	800 - 1000
Families	240	300	450	350	160

Q. Show the following data by a frequency polygon.

Electricity bill ( $R s$ )	$0 - 200$	$200 - 400$	$400 - 600$	$600 - 800$	$800 - 1000$
Families	$240$	$300$	$450$	$350$	$160$

Q. The median of the following data is 525. Find the missing frequency, if it is given that there are 100 observation in the data:

Class interval	Frequency	Class interval	Frequency
0−100 100−200 200−300 300−400 400−500	2 5 f₁ 12 17	500−600 600−700 700−800 800−900 900−1000	20 f₂ 9 7 4

Q. Draw a histogram for the following data.

Class interval	600−640	640−680	680−720	720−760	760−800	800−840
Frequency	18	45	153	288	171	63

Using this histogram, draw the frequency polygon on the same graph.

Q. Draw a histogram for the following frequency distribution.

Use of electricity (Unit)	50 - 70	70 - 90	90 - 110	110 - 130	130 - 150	150 - 170
No. of families	150	400	460	540	600	350

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Measure of Dispersion

Standard X Mathematics

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