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In a class of 19 students, seven boys failed in a test. Those who passed scored 12, 15,17, 15, 16, 15, 19, 19, 17, 18, 18 and 19 marks. The median score of the 19 students in the class is 

(a) 15 

(b) 16 

(c) 17 

(d) 18

1 Answer

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Best answer

(a) 15

The seven boys who failed the test scored the marks less than these given marks. Let the marks be x1 , x2 , x3 , x4 , x5 , x6 , x7 

Then the marks arranged in ascending order are x1 , x2 , x3 , x4 , x5 , x6 , x7 , 12, 15, 15, 15, 16, 17, 17, 18,18, 19, 19, 19

∴ Median score = \((\frac{19+1}{2})\)th item

= 10th item = 15.

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