if there is even observations how to find the median?????

e.g. The marks of 10 students (out of 20) are given as 18, 14, 7, 12, 4, 19, 17, 15, 15, 12, What is the median of the marks

e.g 10 students scored 12,14,15,17,11,10,20,13,17,15 out of 20. what would be the median ?

Hi!

Your question is not clear to us. If you are giving the marks scored by 10 students of each group, then it can be solved further as:

Arranging the marks scored by the students in the first group in increasing order we have;

4, 7, 12, 12, 14, 15, 15, 17, 18, 19

There are 10 observations. Thus, the median mark scored by the students of the first group is half of sum of 5

^{th}and 6^{th}observations = (14 + 15)/2 = 29/2 = 14.5 marksArranging the marks scored by the students in the second group in increasing order we have;

10, 11, 12, 13, 14, 15, 15, 17, 17, 20

There are 10 observations. Thus, the median mark scored by the students of the second group is half of sum of 5

^{th}and 6^{th}observations = (14 + 15)/2 = 29/2 = 14.5 marksIf you consider the two groups as one group, then the marks scored by the 20 students can be arranged in ascending order as:

4, 7, 10, 11, 12, 12, 12, 13, 14, 14, 15, 15, 15, 15, 17, 17, 17, 18, 19 and 20

There are 20 observations. Thus, the median mark scored by the students of the second group is half of sum of 10

^{th}and 11^{th}observations = (14 + 15)/2 = 29/2 = 14.5 marksHope! This will help you.

Cheers!

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