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Construct an ogive for the following:(i)
Class 10 | Frank | Graphical Representations | Guides | ICSE | Maths
Construct an ogive for the following:(i)
Class Interval0-1010-2020-3030-4040-50
Frequency81210146

(ii)

Class Interval100-150150-200200-250250-300300- 350350-400
Frequency10131712108

Solution:-

Steps to draw histograms for given frequency distributions,

1. On the x – axis 1cm=10 units and take the frequency.

2. On the y – axis, take 1cm=10 units and plot class interval.

Then,

Less thanCumulative Frequency
108
2020
3030
4044
5050

3. So, in the graph mark the points with coordinates having abscissae as actual limits and ordinates as the cumulative frequencies, (10,8), (20,20), (30,30), (40,44), (50,50).

4. Finally join the points plotted by a smooth curve.

(ii)

Solution:-

Steps to draw histograms for given frequency distributions,

1. On the x – axis 1cm=10 units and take the frequency.

2. On the y – axis, take 1cm=10 units and plot class interval.

Then,

Less thanCumulative Frequency
15010
20023
25040
30052
35062
40070

3. So, in the graph mark the points with coordinates having abscissae as actual limits and ordinates as the cumulative frequencies, (150,10), (200,23), (250,40), (300,52), (350,62), (400,70).

4. Finally join the points plotted by a smooth curve.

i

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