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 (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.