Question

5. From the data given below find:


(a) Lower limit of the third class


(b) Upper limit of the seventh class.


(c) Class boundaries of the sixth class.


(d) The class mark of the fifth class.


(e) The size of the second class


(f) Draw histogram of the data.

C.I 0-5 5-10 10-15 15-20 20-25 25-30 30-35
Frequency 3 4 2 7 3 5 4

Answer 1

Answer:

Class Interval 30-34 35-39 40-44 45-49 50-54 55-59

Frequency 7 10 12 13 8 4

a) class limit of fourth class is :- 45−49 are

45(lower limit) & 49 (upper limit)

b) class boundaries of sixth class is :- 55−54=1

=

2

1

=0.5

54+0.5=54.5

c) class mark of third class :- 40−44

=

2

40+44

=

2

84

=42

d) upper & lower limit of fifth class :- 50−54

upper limit = 54

lower limit - 50

e) size of the third class :- 40−44

difference between lower & upper limit

(44−40)=4