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Q.

Fom the following data prepare a continuous grouped frequency distribution and find the size of class intervals.

Question Image

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a

    Class size = 16

b

    Class size = 14

c

    Class size = 12

d

    Class size =10  

answer is D.

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Detailed Solution

The given data is,
Question ImageDifference between two mid points is 25-15 =10
⇒Width of class interval is 10.
Let a be the lower limit of the first class interval
So the upper limit will be a + 10
Mid class of the first class interval is 5
We know that, Mid value = (Lower limit + Upper limit)2
⇒5=(a +a+10)2
By further calculation
⇒5=(2a+10)2
⇒2a+10=10
⇒2a = 0
⇒a = 0
So, first class interval is 0-10.
Continuous grouped frequency table is

Mid point

Class interval

Frequency

5

0-10

4

15

10-20

8

25

20-30

13

35

30-40

12

45

40-50

6

Therefore, from above table we can see that size of class interval is 10  .
Hence, the correct option is 4.
 
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