State True/ False:

In a class test, 50 students obtained marks as follow:

Marks obtained
0-2
20-40
40-60
60-80
80-100
Number of students
4
6
25
10
5

In the given frequency distribution table the median class and modal class are the same.

see full answer

Your Exam Success, Personally Taken Care Of

1:1 expert mentors customize learning to your strength and weaknesses – so you score higher in school , IIT JEE and NEET entrance exams.

An Intiative by Sri Chaitanya

True

False

answer is A.

(Unlock A.I Detailed Solution for FREE)

Best Courses for You

JEE

NEET

Foundation JEE

Foundation NEET

CBSE

Detailed Solution

Consider the given frequency distribution about the marks of 50 students in a class test,

Marks obtained	0-2	20-40	40-60	60-80	80-100
Number of students	4	6	25	10	5

We can observe that the maximum class frequency is 25, and the class corresponding to this frequency is 40-60.
Therefore, the modal class is 40-60.
Substituting the data in the table:

Marks obtained	Number of students $f_{i}$	Cumulative frequency
0-20	4	4
20-40	6	10
40-60	25	35
60-80	10	45
80-100	5	50
Total	$\sum f_{i} = 50$

Understand that,

∴ N = 50 ⇒ N 2 = 25 Therefore, c .f . just after 25 is 35 .

Understand that, the median is class 40-60.
Then, the modal class is 40-60 and the median class is 40-60.
Hence, the modal class and the median class are the same in the given frequency distribution table.
Thus, the given statement is true.
Therefore, option 1 is correct.

Watch 3-min video & get full concept clarity