The marks out of 100 of 50 students in a test are given below:

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The marks out of 100 of 50 students in a test are given below:
5 35 6 35 18 36 12 36 85 32
20 36 22 38 24 50 22 39 74 31
25 54 25 64 25 70 28 66 58 25
29 72 31 82 31 84 31 82 37 21
32 84 32 92 35 95 34 92 35 5
(i) Taking a class interval of size 10, construct a frequency as well as a cumulative frequency table for the given data.
(ii) Which class has the largest frequency?
(iii) How many students score less than 40 marks?
(iv) How many students score first division (60% or more) marks?

Solution:

(i) The cumulative frequency table for the :

Class Tally marks Frequency Cumulative frequency
0-10 III 3 3
10-20 II 2 5
20-30 IIII IIII I 11 16
30-40 IIII IIII IIII III 18 34
40-50 IIII IIII IIII III 18 34
50-60 III 3 37
60-70 II 2 39
70-80 III 3 42
80-90 IIII 5 47
90-100 III 3 50

(ii) 30-40 is the class which has the largest frequency.
(iii) 34 students score less than 40 marks.
(iv) 13 students score first division (60% or more) marks.

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