The marks obtained by 80 students in test are given below: Marks 4 12 20 28 36 - Maths -

Question

The marks obtained by 80 students in test are given below:

Marks
4
12
20
28
36
44

Number of
students
8
10
16
24
15
7

Find the modal marks

Global Expert · Accepted Answer

Marks
(xi)
Number of Students
(fi)
Cumulative
Frequency

(xi)(fi)

4
8
8
32

12
10
18
120

20
16
34
320

28
24
58
672

36
15
73
540

44
7
80
308

n = 80

∑fi xi = 1992

The number of observations is 80, which is an even number
Thus, we have:Median=12n2th term+n2+1th term=12802th term+802+1th term=1240th term+41st term=1228+28=28

Also,
Mean=∑fixi∑fi=199280=24 9

By the empirical formula, we have:
Mode = 3 Median - 2 Mean
Or,
Mode = 3(28) - 2(24 9) = 34 2

Marks (x_i)	Number of Students (f_i)	Cumulative Frequency	(x_i)(f_i)
4	8	8	32
12	10	18	120
20	16	34	320
28	24	58	672
36	15	73	540
44	7	80	308
	n = 80		$\sum_{}^{} f_{i} x_{i} =$ 1992

The marks obtained by 80 students in test are given below: Marks 4 12 20 28 36 44 Number of students 8 10 16 24 15 7 Find the modal marks.

The marks obtained by 80 students in test are given below:

Marks 4 12 20 28 36 44

Number of students 8 10 16 24 15 7

Find the modal marks.