The first 10 even numbers are 2, 4, 6, 8, 10, 12, 14, 16, 18, 20. What are the first and third quartiles?
2, 4, 6, 8, 10, 12, 14, 16, 18, 20
*
6 and 16
8 and14
2 and 20
8 and 16
The first quartile is the median of the lower half of the data set. In this case, the lower half is {2, 4, 6, 8, 10}. The median of this lower half is 6.
The third quartile is the median of the upper half of the data set. In this case, the upper half is {12, 14, 16, 18, 20}. The median of this upper half is 16.
So, the first quartile is 6 and the third quartile is 16.