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Frequency Polygon

Ages of 60 te...

Question

Ages of 60 teachers in primary schools of a Mandal are given in the following frequency distribution table. Construct the Frequency polygon and frequency curve for the data without using the histogram. (Use separate graph sheets)
Ages 24-28 28-32 32-36 36-40 40-44 44-48
No of teachers 12 10 15 9 8 6

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Solution

Frequency curve is shown in figure.

Hence, this is the answer.

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Q. Ages of 44 residents living in a society are given in the following frequency distribution table.

Ages (in years)	Residents
10-20	5
20-30	9
30-40	16
40-50	11
50-60	3

Construct the frequency curve for the data without using histogram.

Q. By taking classes

30 - 40, 40 - 50, 50 - 60, . . .

, construct a frequency table for the following data:

65, 34, 74, 49, 52, 35, 71, 55, 61, 40, 56, 38, 52, 56, 52, 33, 60, 35, 49, 37, 53, 50, 44, 30, 62, 50, 47, 45, 47, 50, 63, 61, 54, 58, 47, 64, 37, 38, 44, 42, 47, 55, 70, 33, 75, 49, 47, 30, 60, 69

Also, construct a combined histogram and frequency polygon for the distribution.

Q. Compute the mode for the following frequency distribution:

Size of items:	0-4	4-8	8-12	12-16	16-20	20-24	24-28	28-32	32-36	36-40
Frequency:	5	7	9	17	12	10	6	3	1	0

Q. Fill in the blanks by using proper substitutes given in the bracket.

1) __________ is an orderly arrangement of data in rows and columns.
(Diagrams/Table/ Bar/ Histogram)

2) __________is a visual form of presenting tabulated data.
(Diagram/Picture/Frequency distribution/Bar)

3) Vertical rectangles representing class frequencies in a frequency distribution is called______
(Histogram/ Bar diagram/ Pie diagram/ Frequency polygon)

4) A frequency polygon is a ______ line curve.
(straight line/freehand/ joint/multi-dimensions)

5) _________ diagrams are used for comparisons.
(Multiple bar, Simple bar/ Sub-divided/ Percentage Bar)

Q. State whether the following statements are true or false:

1) Arrangement of data in rows and columns is called classification of data.

2) Diagram represent the tabulated data in visual form.

3) Frequency polygon and frequency curve both are same.

4) Histogram gives a graphical presentation of continuous frequency distribution.

5) A diagram is an alternative to table.

6) Graphs are said to be more technical.

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