Question

in the following grouped frequency distribution table class marks and given. class marks 0- 10 ,0-22, 0-34, 0-46, 0-58, 0-70. frequency. 6, 14, 20, 21, 9, 5 ​

Answer 1

Answer:

Solution

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⇒ Class size =22−10=12

∴

2

12

=6

Now, we are going to subtract and add 6 in class marks.

∴ Class intervals are

6−16,16−28,28−40,40−52,52−64,64−76.

⇒ Construct less than cumulative frequency table:

Class−Interval L.C.F

Less than 16 6

Less than 28 6+14=20

Less than 40 20+20=40

Less than 52 40+21=61

Less than 64 61+9=70

Less than 76 70+5=75

⇒ Construct greater than cumulative frequency table:

Class−Interval G.C.F

Greater than 6 6+69=75

Greater than 16 14+55=69

Greater than 28 20+35=55

Greater than 40 21+14=35

Greater than 52 9+5=14

Greater than 64 5