Question

What is the median of this data set?[29,22,23,31,29,29,22,23]

Answer 1

Given the dataset:

`\mleft\lbrace29,22,23,31,29,29,22,23\mright\rbrace`

First of all, we order it:

`\mleft\lbrace22,22,23,23,29,29,29,31\mright\rbrace`

There are 8 elements, so, for the median we have:

`i=(n)/(2)`

Where n is the number of elements. Now, for n = 8:

`i=(8)/(2)=4`

This is a whole number, so the median is the semi-sum between the elements at positions i and (i + 1). That is, the fourth and fifth elements of the ordered dataset:

`Q_(50)=(23+29)/(2)=26`