1. Skill: Mean, Median, Range
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Skill: Mean, Median, Range

2. Pennsylvania State Standard
M5.E – Data Analysis and Probability
M5.E – Determine the mean/average (answer is a whole number), median (answer is a whole number or average of 2 numbers), and range of data (up to 10 numbers).

3. Objective
Students will be able to find the mean, median, and range of a set of data

4. What is the Mean?
Mean is another word for average. It is found by dividing the sum of a set of numbers by the number of addends

5. Finding the Mean Set of Data
88, 72,95, 81, 64
Step 1: Add all the numbers in the set together.
= 400

6. Finding the Mean So the mean for this set of data is 80!
Step 2: Divide the sum by the number of addends
88, 72, 95, 81, 64 = 5 addends
400 ÷ 5 = 80
So the mean for this set of data is 80!

7. What is the Median?
If there is an odd amount in your set of data, the median is the middle number of a set of data when it is ordered from the minimum (least) to the maximum (greatest).
If there is an even amount in your set of data, the median is found by averaging the two middle numbers when they are arranged from minimum to maximum.

8. Median with an Odd Amount
Set of data
75, 98, 64, 77, 85, 92, 87, 65, 81
Step 1: Arrange from minimum to maximum
64, 65, 75, 77, 81, 85, 87, 92, 98

9. Step 2: Find the middle number (same amount of numbers on the left and right)
64, 65, 75, 77, 81, 85, 87, 92, 98
4 on the right
4 on the left
THIS IS THE MEDIAN

10. Median with an Even Amount
Set of Data
83, 67, 94, 76, 87, 89, 90,73, 100, 78
Step 1: Arrange from minimum to maximum
67, 73, 76, 78, 83, 87, 89, 90, 94, 100

11. Step 2: Find the 2 middle numbers (same amount of numbers on left and right)
67, 73, 76, 78, 83, 87, 89, 90, 94, 100
4 on the left
4 on the right
THESE ARE YOUR 2 MIDDLE NUMERS!

12. Step 3: Find the average of the 2 middle numbers
67, 73, 76, 78, 83, 87, 89, 90, 94, 100
= 170
170 ÷ 2 = 85
85 is the Median

13. What is the Range?
The range is the difference between the maximum and minimum numbers in a set of data (remember that the difference is the answer when you subtract).

14. Finding the Range! Set of data:
35, 44, 30, 42, 54, 42, 39, 46,29,53
Step 1 – order the data from minimum to maximum
29, 30, 35, 39, 42,42, 44, 46, 53, 54

15. Step 2 – Subtract the minimum number from the maximum number.
29, 30, 35, 39, 42,42, 44, 46, 53, 54
54 – 29 = 25
minimum
maximum
25 IS THE RANGE!

16. Practice! Find the mean, median, and range using this set of data.
36, 27, 54, 45, 48, 32, 51, 35

17. Practice! What is the mean? 35, 27, 55, 45, 48, 32, 52, 34 A. 41 B. 40

18. Practice! What is the mean? 35, 27, 55, 45, 48, 32, 52, 34 A. 41 B. 40

19. Practice! What is the median? 35, 27, 55, 45, 48, 32, 52, 34 A. 28
B. 40 C
E. 45

20. Practice! What is the median? 35, 27, 55, 45, 48, 32, 52, 34 A. 28
B. 40 C
E. 45

21. Practice! What is the range? 35, 27, 55, 45, 48, 32, 52, 34 A. 28
B. 55
C. 26
E. 27

22. Practice! What is the range? 35, 27, 55, 45, 48, 32, 52, 34 A. 28
B. 55
C. 26
E. 27