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Q. 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:

Statistics

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 = $\left( \frac{n + 1}{2} \right) th $ term
$= \left( \frac{15 + 1}{2} \right)^{th} $ term $ = 8^{th}$ term = 60