mean, median, mode
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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 M ean , Median mode. Range. What you will do with your group (PGW Outcome). - PowerPoint PPT PresentationTRANSCRIPT
Mean, Median, Mode
Tuesday 9/18/12Theme, 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 MeanLet’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 minAdd 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• 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?
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
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• 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?
Game Number of Touchdowns
1 0
2 2
3 4
4 0
5 2
6 2
7 1
8 5
9 2
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 ?
14 players = >$2 million +2009-10 Tampa Bay Buccaneers Salaries - USATODAY.com
44 players = <$2 million
• 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.
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• Derek Jeter wanted to
find his range of homeruns scored in a game this season.
• What is his range?
Game Number of homeruns
1 2
2 4
3 7
4 9
5 1
6 0
7 5
8 7
9 2
10 3
Mean, Median, Mode, Range
• Please come up with a problem for each on your own paper.