What is the median of the data set below
4,6,2,4,5,3,1,9,5,6,7,8,4
To find the median of a data set, you must first arrange the data in numerical order from smallest to largest. Then, if the number of data points is odd, the median is the middle number. If the number of data points is even, the median is the average of the two middle numbers.
Let's arrange the given dataset:
1, 2, 3, 4, 4, 4, 5, 5, 6, 6, 7, 8, 9
There are 13 data points, which is an odd number. So, the median will be the middle number. Since there are 13 data points, the middle one will be the 7th number (since there are 6 numbers on either side of the middle number in a set of 13):
1, 2, 3, 4, 4, 4, (5), 5, 6, 6, 7, 8, 9
The median is 5.