Question

2. In a batch of 15 students, 3 students failed in an examination. The marks of passed 12 students were 9, 6, 7, 8, 4, 5, 8, 10, 9, 7,5,7. What was the median mark of all 15 students? ​

Answer 1

7

Explanation:

the median is the value in the middle of all measured data points in that sense that half of the other data points are smaller, and half of the other data points are bigger.

if there are 2 middle numbers (because we have an even number of data points), then the mean value between these 2 middle numbers is then the median.

in order to find the median, we need to sort the data points first (best from small to large) :

4, 5, 5, 6, 7, 7, 7, 8, 8, 9, 9, 10

since these were the passing students, we know that the marks of the not passing students must be below that. so that our sorted list looks like

m1, m2, m3, 4, 5, 5, 6, 7, 7, 7, 8, 8, 9, 9, 10

now we have 15 data points, so the median is the data point with 7 left and 7 right of it : 7