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.
(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) Ascending order of the numbers in groups :
(30-39): 37, 39
(40 - 49): 44, 48, 48
(50 - 59) : 50,52, 53, 55, 56, 58, 58, 59
(60 - 69) : 60, 60, 60, 61, 62, 64, 67, 68
(70 - 79) : 70, 75, 77, 78
(80 - 89) : 84, 88
(90 - 99) : 90, 98
(100-109): 100


(ii) The highest score is 100.
(iii) The lowest score is 37.
(iv) Range is = Maximum observation - Minimum observation.
= 100 - 37 = 63.
(v) If 40 is the pass mark, then only 2 students have failed.
(vi) 8 students have scored 75 or more.
(vii) 51, 54 and 57 are not there between 50 and 60.
(viii) 5 students scored less than 50.