The Interquartile Range = 20
Step 1: Find Q2
Note - Q2 is basically the median of the set
We see that the two numbers in the middle are 28 and 32.
To get the median, find the average of 28 and 32.
28 + 32 = 60, 60/2 = 30
Q2 = 30
Step 2: Find Q1
The median splits the set. So anything before 30, is what we should focus on.
In this case, it's: 12, 16, 20, 24, and 28
Find the median of those five numbers. We get: 20
Q1 = 20
Step 3: Find Q3
Similar to before, focus on the numbers after 30.
In this case, it's: 32, 36, 40, 44, 48
Find the median of those five numbers. We get: 40
Q3 = 40
Step 4: Find the IQR
The IQR (Interquartile Range), as shown in its name, is found by subtracting Q3 and Q1.
Q3 - Q1 = 40 - 20 =20
IQR = 20