How do you find the median of a data set?
Median is amongst the three important statistic branches, which includes mode and mean as well.
Answer: The median of the given set can be found out by finding the middle term of the data set (sorted in order).
Let's go through the step-by-step process to understand median calculations.
Let's understand the median value.
The median value is defined for a data set, and it corresponds to the middle value of that data set when all data of the data set is sorted in ascending order.
Example: Find the median of 12, 4, and 6.
Arranging the data set in ascending order:
4, 6, 12
The middle term is 6, so the median comes out to be 6.
Let's see another example when two numbers are in the middle
The main problem in the valuation of the median arises, when the data set has an even number of terms. In an odd number of data set, there is a unique middle term and that is taken as the median of the data set. But in the case of an even number of terms, we mostly need to take, two middle terms and find their average to find the ultimate median of the data set.
Example: Find the median for the data set:
3, 5, 14, 9, 22, 14, 55, 61, 13, 12
Arranging the terms in ascending order:
3, 5, 9, 12, 13, 14, 14, 22, 55, 61
Now, since there are even (10) number of terms, we take out the two middle terms, i.e.
5th term = 13 and 6th term = 14
Average of the two middle terms = (13 + 14) / 2 = 13.5
Thus, the median of this data set will be 13.5
Let's try the median calculator to find the median of the data set.
Therefore, the median of the given set can be found out by finding the middle term of the data set (sorted in order).