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

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

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

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

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

Example of Mean Turn to pg NOS 15 of your text

Mean is used in your grade average

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”

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?

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

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.”

Finding Median Trial Time for 200 m Fly 1 1 min. 54.53 sec 5 1 min. 60 sec 13 2 min. 02.11 sec 3 2 min. 12.45 sec 12 2 min. 15.03 sec 11 2 min. 25.49 sec 2 2 min. 30 sec 10 2 min. 34.02 sec 9 2 min. 48.23 sec 4 2 min. 59.03 sec 7 2 min. 59.49 sec 8 3 min. 56.38 sec 6 5 min. 38.56 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?

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)

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.”

What is the mode?

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?

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.

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 + 2009-10 Tampa Bay Buccaneers Salaries - USATODAY.com 44 players = <$2 million Tampa Bay Buccaneers Salaries

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.

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.”

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?

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