Question

The final marks in mathematics of 30 students are as follows:
53, 61, 48, 60, 78, 68, 55, 100, 67, 90
75, 88, 77, 37, 84, 58, 60, 48, 62, 56
44, 58, 52, 64, 98, 59, 70, 39, 50, 60

(i) Arrange these marks in the ascending order, 30 to 39 one group, 40 to 49 second group, etc.
Now answer the following:

(ii) What is the highest score?

(iii) What is the lowest score?

(iv) What is the range?

(v) If 40 is the pass mark how many have failed?

(vi) How many have scored 75 or more?

(vii) Which observations between 50 and 60 have not actually appeared?

(viii) How many have scored less than 50?

Answer 1

(i) The frequency distribution table of grouped frequency such as 30-39, 40-49… is the following:

(ii) The highest score is 100.

(iii) The lowest score is 37.

(iv) The range of the scores is

(v) If 40 is the pass mark, then the number of students failed is 2.

(vi) The number of students scored more than 75 is 8.

(vii) The observations 51, 54 and 57 in between 50-60 have not actually appeared.

(viii) Number of students scored less than 50 is 5.