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 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?

(i) The cumulative frequency table for given data is :

(ii) From table,

Class 30 - 40 has the largest frequency distribution table.

(iii) From table,

34 students score less than 40 marks.

(iv) Total marks = 100

60% marks = $\dfrac{60}{100} \times 100$ = 60.

From tables, students scoring less than 60 = 37

Total students = 50.

Students scoring more than 60% = 50 - 37 = 13.

Hence, 13 students scored more than 60% marks.