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Byju's Answer
Standard X
Mathematics
Ogive of Less Than Type
The following...
Question

The following table gives the distribution of IQ of 60 pupils of class X in a school.
IQ
No. of pupils
60-70
2
70-80
3
80-90
5
90-100
16
100-110
14
110-120
13
120-130
7
Convert the above distribution to a more than type cumulative frequency distribution and draw its ogive

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Solution

More than type cumulative frequency distribution:
IQ
(class Interval)		 No. of Pupils (Cumulative Frequency) Freq.
More than 60 60 2 2+3+5+16+14+13+7=60
More than 70 58 3 60-2=58
More than 80 55 5 58-3=55
More than 90 50 16 55-5=50
More than 100 34 14 50-16=34
More than 110 20 13 34-14=20
More than 120 7 7 20-13=7
Plot the ogive is as follows:
1. On the x axis use the lower limits of the class.
2. Mark the more than type cumulative frequency on y axis.
3. Plot the points using upper limits and corresponding cumulative frequencies.
4. Join the points by a free hand curve to get ogive.
268484_236875_ans.png

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

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