Question

The modal class of the frequency distribution given below is .....
Class
0-10
10-20
20-30
30-40
40-50

Frequency
7
15
13
17
10
(a) 10-20
(b) 20-30
(c) 30-40
(d) 40-50

The cumulative frequency of class 20-30 of the frequency distribution given in (9)
is ......,select a proper option (a), (b), (c) or (d) from given options so that the statement becomes correct.
(a) 25
(b) 35
(c) 15
(d) 40

Answer 1

_____________________________
class | f | cumulative frequency
___________________________
0 - 10 | 7 | 55 + 7 = 62
____________________
10 - 20 | 15| 40 + 15 = 55
____________________
20 - 30 | 13| 27 + 13 = 40
_____________________
30 - 40 | 17 | 10 + 17 = 27
______________________
40 - 50 | 10 | 10
______________________

Highest frequency 17 is a modal class.


modal class - ( 30 - 40 )

Option ( C ) correct.

Greater than cumulative frequency of

20 - 30 is 40

Option ( d ) is correct.

I hope this helps you.

: )

Answer 2

Dear Student,

Solution:

As we know that the class having highest frequency is known as modal class.

So, in the given data highest frequency is of 30-40 class and that is 17.

Modal class = 30-40 ( option c)

Cumulative Frequency: The frequency of each class adding previous Frequencies.

class -------------------- Frequency-----------CF

0-10 ------------------------ 7 ------------------ 7

10-20 ---------------------- 15 ----------------- 22

20-30 -----------------------13----------------- 35

30-40----------------------- 17 -----------------52

40-50 ----------------- 10------------------62

So, CF of class 20-30 is 35 ( option b)