The list shows the number of employees at seven companies. 525, 650, 539, 643, 764, 539, 687 What is the interquartile range of these numbers?
To find the interquartile range, we first need to find the first quartile (Q1) and the third quartile (Q3).
To do this, we first need to order the numbers in ascending order:
525, 539, 539, 643, 650, 687, 764
The median (Q2) of this set of numbers is the number in the middle, which is 643.
To find Q1, we need to find the median of the lower half of the numbers. The lower half of the numbers is:
525, 539, 539
The median of the lower half is the average of the two middle numbers, which is (539 + 539)/2 = 539.
To find Q3, we need to find the median of the upper half of the numbers. The upper half of the numbers is:
650, 687, 764
The median of the upper half is the average of the two middle numbers, which is (650 + 687)/2 = 668.5.
The interquartile range is the difference between Q3 and Q1:
Q3 - Q1 = 668.5 - 539 = <<668.5-539=129.5>>129.5
So, the interquartile range of these numbers is 129.5.