298,363 views
4 votes
4 votes
What is the median of this data set?[29,22,23,31,29,29,22,23]

User Thewisegod
by
3.0k points

1 Answer

13 votes
13 votes

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

User Ucarion
by
2.8k points