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?

(i)


Groups



Marks in ascending order



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 – 100



90,98,100



(ii) High score is 100.


(iii) Lowest score is 37.


(iv) Range = 100 – 37 = 63.


(v) Number of students failed = 2. (37 , 39)


(vi) Number of students scored more than 75 are = 8.


(vii) Those observations are = 51 , 54 , 57


(viii) number of people scored less than 50 = 5. (37, 39, 44, 48, 48)


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