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

Answer 1

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

Step 1: Sort the numbers in ascending order:
525, 539, 539, 643, 650, 687, 764

Step 2: Calculate Q1 and Q3:
Q1 = Median of the lower half of the numbers
Q3 = Median of the upper half of the numbers

The lower half of the numbers: 525, 539, 539
The upper half of the numbers: 643, 650, 687, 764

Median of the lower half: (539 + 539)/2 = 539
Median of the upper half: (650 + 687)/2 = 668.5

Therefore, Q1 = 539 and Q3 = 668.5

Step 3: Calculate the IQR:
IQR = Q3 - Q1 = 668.5 - 539 = 129.5

The interquartile range of the given numbers is 129.5.