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Q.

State if the following is true or false.


The 'less than ogive' for the following frequency distribution is the below graph.


Marks Obtained

10-20

20-30

30-40

40-50

50-60

60-70

70-80

No. of Students

2

5

4

2

5

6

9


Question Image

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a

True

b

False 

answer is A.

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Detailed Solution

Given table is,

Marks Obtained

10-20

20-30

30-40

40-50

50-60

60-70

70-80

No. of Students

2

5

4

2

5

6

9

Consider the table,
 

Marks Obtained

No. of Students

Cumulative Frequency

10-20

2

Less than 20

2

20-30

5

Less than 30

7

30-40

4

Less than 40

11

40-50

2

Less than 50

13

50-60

5

Less than 60

18

60-70

6

Less than 70

24

70-80

9

Less than 80

33

To represent less than type ogive, we have to plot the points 20,2 , 30,7 , 40,11 , 50,13 , 60,18 , 70,24 , 80,33   on the graph paper and join them by free hand to get a smooth curve, which is the required less than type ogive.
Question ImageTherefore, it is true that the 'less than ogive' for the given frequency distribution is the above graph.
Hence, option 1 is correct.
 
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State if the following is true or false.The 'less than ogive' for the following frequency distribution is the below graph.Marks Obtained10-2020-3030-4040-5050-6060-7070-80No. of Students2542569