2104 Find the fivenumber summary and the interquartile range

2.104 Find the five-number summary and the interquartile range (IQR) of the following data sets. NOTE: do not apportion the data, use the position within the data.

5.04, 1.10, 3.21, 0.57, 2.41, and 3.21

Minimum ?

First Quartile ?

Second Quartile ?

Third Quartile ?

Maximum ?

Interquartile Range ?

Solution

Arrange the data in an ascending order.

0.57,1.10,2.41,3.21,3.21,5.04

The minimum is 0.57.

The first quartile is the median of the lower half of the data =(0.57+1.10)/2=0.835

The median is: (2.41+3.21)/2=2.81

The third quartile is (3.21+5.04)/2

=4.125

maximum=5.04