In the data set below, what is the interquartile range?

Question

19 29 33 37 41 45

Answer 1

To find the interquartile range, we first need to find the first quartile (Q1) and the third quartile (Q3).

The data set is:
19, 29, 33, 37, 41, 45

To find Q1, we take the median of the first half of the data set:
19, 29, 33
Q1 = 29

To find Q3, we take the median of the second half of the data set:
37, 41, 45
Q3 = 41

The interquartile range is then calculated by subtracting Q1 from Q3:
Interquartile Range = Q3 - Q1
Interquartile Range = 41 - 29
Interquartile Range = 12

So, the interquartile range is 12.