In the following grouped frequency distribution table class marks are given.
marks 01
4.
70
58
46
34
22.
10
Class Marks
9
5
21
6.
14
20
Frequency
(i)
(ii)
Construct class intervals of the data. (Exclusive class intervals)
Construct less than cumulative frequencies and
Construct greater than cumulative frequencies.
Answers
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
⇒ 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