Question

In an examination, 25 students secured the following marks:

23	28	30	32	35	35	36	40	41	43	44	45	45
48	49	52	53	54	56	56	58	61	62	65	68

(i) Arrange these data in the form of a frequency distribution using the following class as intervals:
20−29, 30−39, 40−49, 50−59, and 60−69.
(ii) Arrange the data with cumulative frequencies.

Answer 1

i) In the form of a frequency distribution, the given data can be arranged as follows.


ii) With cumulative frequencies the given data can be arranged as follows.

METHOD-1		METHOD-2
Marks	No. of Students	Marks	No. of students
Less than 29 Less than 39 Less than 49 Less than 59 Less than 69	0 + 2 = 2 2 + 5 = 7 7 + 8 = 15 15 + 6 = 21 21 + 4 = 25	More than 20 More than 30 More than 40 More than 50 More than 60	25 25 − 2 = 23 23 − 5 = 18 18 − 8 = 10 10 − 6 = 4