Hence, median of the following data set (18, 19, 19, 21, 25, 28, 31) is 21
What is median?
The median is the value in the middle of a list that is ranked from smallest to largest. The mode is the value on the list that appears the most frequently. To find the median, sort your data first. Then, using n, the number of values in your data collection, determine the middle position. When n is an odd integer, the median is found at (n + 1) / 2. The median is the mean of the values at positions n / 2 and (n / 2) + 1 if n is an even integer.
How to solve?
Given numbers 18,19,19,21,25,28,31
step 1 is to arrange numbers is ascending order , but as they are arranged so we move to step 2
step 2 is to know number of observations and apply formula
if n is odd then [tex]\frac{n+1}{2}[/tex] , if even then [tex]\frac{n}{2}[/tex]
Hence n =7 here
∴[tex]\frac{n+1}{2}=\frac{8}{2} =4[/tex]
Hence,[tex]4^{th}[/tex] term is the median which is 21
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