Question

Use the table given below to find:
(a) The actual class limits of the fourth class
(b) The class boundaries of the sixth class.
(c) The class mark of the third class.
(d) The upper and lower limits of the fifth class.
(e) The size of the third class.

Class interval	$30-34$	$35-39$	$40-44$	$45-49$	$50-54$	$55-59$
Frequency	$7$	$10$	$12$	$13$	$8$	$4$

Answer 1

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 :- $55-54=1$

$=\frac{1}{2}=0.5$

$54+0.5=54.5$

c) class mark of third class :- $40-44$

$=\frac{40+44}{2}=\frac{84}{2}=42$

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

$(44-40)=4$