Question

in the following grouped frequency distribution
construct the class interval
construct L C F and G C F
marks 10 22 34 46 58 70
frequency 6 14 20 21 9 5​

Answer 1

Answer:

⇒ 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