Step 1: Put the numbers in order from smallest to largest
14, 14, 16, 17, 17, 17, 18, 18, 20, 20, 22
Step 2: Find the minimum, median, and maximum
The minimum is the smallest number in the dataset.
Minimum = 14
The median is the middle number in the dataset. We can cross out one number from each side until we get to the middle number.
14, 14, 16, 17, 17, 17, 18, 18, 20, 20, 22
14, 16, 17, 17, 17, 18, 18, 20, 20
16, 17, 17, 17, 18, 18, 20
17, 17, 17, 18, 18
17, 17, 18
17
Median = 17
The maximum is the largest number in the dataset.
Maximum = 22
Step 3: Find the first quartile
Now that we know where and how to find the median, we will need to find the median of the first half of the data set. We exclude the median we found previously in this step.
14, 14, 16, 17, 17
14, 16, 17
16
First Quartile = 16
Step 4: Find the third quartile
We are going to repeat the step 3 except this time using the second half of the dataset.
18, 18, 20, 20, 22
18, 20, 20
20
Third Quartile = 20
Step 5: Find the IQR
IQR = third quartile - first quartile
IQR = 20 - 16
IQR = 4
Answers:
Minimum = 14
First Quartile = 16
Median = 17
Third Quartile = 20
Maximum = 22
IQR = 4
Hope this helps!