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Question

By using data in example (6), and taking classes 30-40, 40-50... prepare equal to or more than type cumulative frequency table and answer the following questions based on it.
(i) How many students have scored marks 70 or more than 70 ?
(ii) How many students have scored marks 30 or more than 30 ?

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Solution

Given:

The marks scored by 68 students of 9th standard from model Highschool, Nandpur out of 80, in written exam of mathematics is as follows:

70, 50, 60, 66, 45, 46, 38, 30, 40, 47, 56, 68, 80, 79, 39, 43, 57, 61, 51, 32, 42, 43, 75, 43, 36, 37, 61, 71, 32, 40, 45, 32, 36, 42, 43, 55, 56, 62, 66, 72, 73, 78, 36, 46, 47, 52, 68, 78, 80, 49, 59, 69, 65, 35, 46, 56, 57, 60, 36, 37, 45, 42, 70, 37, 45, 66, 56, 47

The equal to or more than type cumulative frequency of the above data:
Class (Marks) Frequency Equal to or more than type cumulative frequency
30-40 14 68
40-50 20 54
50-60 11 34
60-70 12 23
70-80 9 11
80-90 2 2
total N = 68

(i) The number of students who have scored marks 70 or more than 70 is 11.

(ii) The number of students who have scored marks 30 or more than 30 is 68.

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