1. Tuesday 9/18/12 Theme, sports
Mean, Median, Mode
Tuesday 9/18/12
Theme, sports

2. What you will learn (Content purpose)
Perform common calculations required for data analysis.

3. Language Purpose (What you will say)
Use the following terms
Mean,
Median
mode.
Range

4. What you will do with your group (PGW Outcome)
Calculate mean, median, and mode.

5. Analyzing Data
We will use the following terms to understand our data: Mean, median, mode, and range.

6. Example of Mean
Turn to pg NOS 15 of your text

7. Mean is used in your grade average

8. MEAN
The sum of the numbers in a data set divided by the total entries in a set
In other words: “Add up all the numbers and then divide by how many there are.”
Also known as the “AVERAGE”

9. Finding Mean
Let’s find your mean running time for the mile over the course of four days:
Day one: 8 min
Day two: 7 min
Day three: 9 min
Day four: 6 min
Add up all of the times, then divide by 4 days. What do you get?

10. Examples of Mean Salaries in sports
The national hockey league
Major league baseball
The National Hockey League had an average salary (2007) of $1,906,793
Major League Baseball's average salary per player (in the 2010 season) was $3,297,828

11. Median
Is the middle number in a data set when the data are arranged in numerical order
In other words. . . “Put all the numbers in order, and then count in find the middle number.”

12. Finding Median
Trial
Time for 200 m Fly 1
1 min sec 5
1 min. 60 sec 13
2 min sec 3
2 min sec 12
2 min sec 11
2 min sec 2
2 min. 30 sec 10
2 min sec 9
2 min sec 4
2 min sec 7
2 min sec 8
3 min sec 6
5 min sec
Michael Phelps wants to find the Median of his swim times for the 200 meter butterfly today. He swam 13 times and then put the times in order from fastest to slowest.
What was his median time?

13. But what if….
(if you have an even number of data items, add the two middle numbers together and divide by two to find the median)

14. Mode Mode is the number or item that appears most often.
In other words- “It’s the thing you see most in a list of things. It happens the most.”

15. What is the mode?

16. Finding Mode
Game
Number of Touchdowns 1 2 3 4 5 6 7 8 9
Cam Newton, the Quarterback on the Carolina Panthers football team wants to find the Mode for his touchdowns scored during games.
What number occurs most frequently?

17. Is Mode the same as Median ?
How are mode and median different from one another?
No.
Mode is the number that occurs the most often, while Median is the number that’s in the middle of a data set.

18. Is mean the same as mode ?
The 2009 National Football League season, the mean player salary was $1.1 million.
This number is severely skewed as there are only a couple of players on a team making a salary of around $7 million to $8 million, while a larger number make toward the league minimum.
The league minimum for rookies in 2009 was $193,000. This was the mode since most players make this much.
14 players = >$2 million +
Tampa Bay Buccaneers Salaries - USATODAY.com
44 players = <$2 million
Tampa Bay Buccaneers Salaries

19. Mean vs Median. . .
As of the 2008 season, Major League Soccer's average/mean salary was $117,299.
The median salary however was $55,000.
In 2008, the highest salary was $5.5 million for David Beckham, and the second highest salary went to Cuauhtemoc Blanco at $2,492,316.

20. Range
The difference between the greatest number and the least number in the data set.
In other words: “Take the biggest number and subtract the smallest number.”

21. Finding Range
Game
Number of homeruns 1 2 4 3 7 9 5 6 8 10
Derek Jeter wanted to find his range of homeruns scored in a game this season.
What is his range?

22. Mean, Median, Mode, Range
Please come up with a problem for each on your own paper.