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

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=fxf=414080=51.75

  • 29
0 and above, 20 and above........... are marks and 80,77,72,.......... are number of students
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