In the data set below, what is the interquartile range?
19 29 33 37 41 45
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.