find the mean marks of a student from the following cumulative frequency distribution marks number of students 0 and above - Maths - Statistics

Question

find the mean marks of a student from the following cumulative
frequency distribution
marks number of students
0 and above 80
10 and above 77
20 and above 72
30 and above 65
40 and above 55
50 and above 43
60 and above 28
70 and above 16
80 and above 10
90 and above 8
100 and above 0

Ashwini Kumar · Accepted Answer

Greater than type
Class interval
x
cumulative frequency
frequency(f)
fx

0 and above
0-10
5
80
3
15

10 and above
10-20
15
77
5
75

20 and above
20-30
25
72
7
175

30 and above
30-40
35
65
10
350

40 and above
40-50
45
55
12
540

50 and above
50-60
55
43
15
825

60 and above
60-70
65
28
12
780

70 and above
70-80
75
16
6
450

80 and above
80-90
85
10
2
170

90 and above
90-100
95
8
8
760

100 and above
100-110
105
0
0
0

80
4140

Mean=∑fx∑f=414080=51 75

Greater than type	Class interval	x	cumulative frequency	frequency(f)	fx
0 and above	0-10	5	80	3	15
10 and above	10-20	15	77	5	75
20 and above	20-30	25	72	7	175
30 and above	30-40	35	65	10	350
40 and above	40-50	45	55	12	540
50 and above	50-60	55	43	15	825
60 and above	60-70	65	28	12	780
70 and above	70-80	75	16	6	450
80 and above	80-90	85	10	2	170
90 and above	90-100	95	8	8	760
100 and above	100-110	105	0	0	0
				80	4140

find the mean marks of a student from the following cumulative frequency distribution marks number of students 0 and above 80 10 and above 77 20 and above 72 30 and above 65 40 and above 55 50 and above 43 60 and above 28 70 and above 16 80 and above 10 90 and above 8 100 and above 0

find the mean marks of a student from the following cumulative frequency distribution
marks number of students
0 and above 80
10 and above 77
20 and above 72
30 and above 65
40 and above 55
50 and above 43
60 and above 28
70 and above 16
80 and above 10
90 and above 8
100 and above 0