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Question

Mathematics Question on Statistics

In a batch of 15 students, if the marks of 10 students who passed are 70, 50, 95, 40, 60, 70, 80, 90, 75, 80 then the median marks of all the 15 students is:

A

40

B

50

C

60

D

70

Answer

60

Explanation

Solution

As given : marks of 10 students out of 15 in the ascending order are 40, 50, 60, 70, 70, 75, 80, 80, 90, 95 Total number of terms = 15 and 5 students who failed are below 40 marks, median = (n+12)th\left( \frac{n + 1}{2} \right) th term =(15+12)th= \left( \frac{15 + 1}{2} \right)^{th} term =8th = 8^{th} term = 60