In the data set below what is the interquartile range?

Question

25, 30, 30, 55, 62, 62, 66, 69, 71, 80, 92
30
62
41
71

Answer 1

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

To find Q1, we need to find the median of the lower half of the data set: 25, 30, 30, 41, 55.
Q1 = 30

To find Q3, we need to find the median of the upper half of the data set: 62, 62, 66, 69, 71, 80, 92.
Q3 = 69

Now we can calculate the interquartile range:
IQR = Q3 - Q1
IQR = 69 - 30
IQR = 39

Therefore, the interquartile range is 39.