3

Given the set:

10, 13, 4, 7, 8, 11 10, 16, 18, 12, 3, 6, 9, 9, 4, 13, 20, 7, 5, 10, 17, 10, 16, 14, 8, 18

Find their median and quartiles.


First arrange the data from smallest to largest:

3, 4, 4, 5, 6, 7, 7, 8, 8, 9, 9, 10, 10, 10, 10, 11, 12, 13, 13, 14, 16, 16, 17, 18, 18, 20

Median

26/2 = 13.

As the number of data is even, the median is the average of the two central numbers:

Statistical Median Calculation

Quartiles

26/4 = 6.5 Q1 = 7

Q2 = Me = 10

(26 · 3)/4 = 19.5 Q3 = 14