1. Mean, Median, Mode, Range & Outlier

2. Vocabulary
Mean
Median
Mode
Range
Outlier

3. the sum of the data divided by the total number of elements
2, 5, 7, 8, 5, 9, 3, 4, 8, 5, 6, 9, 10, 20, 6, 5, 4, 8, 4, 2
Mean (average)
the sum of the data divided by the total number of elements
= 130
130 ÷ 20 = 6.5

4. DATA:
2, 5, 7, 8, 5, 9, 3, 4, 8, 5, 6, 9, 10, 20, 6, 5, 4, 8, 4, 2
Median (middle)
The middle number in an ordered set of data (or average of middle 2 numbers)
2, 2, 3, 4, 4, 4, 5, 5, 5, 5, 6, 6, 7, 8, 8, 8, 9, 9, 10, 20
5 + 6 = 11
11 ÷ 2 = 5.5

5. Easiest way to see is to put them in order….
DATA:
2, 5, 7, 8, 5, 9, 3, 4, 8, 5, 6, 9, 10, 20, 6, 5, 4, 8, 4, 2
Mode (most)
The number that occurs the most times in a set of data (could be multiple modes or no mode)
Easiest way to see is to put them in order….
2, 2, 3, 4, 4, 4, 5, 5, 5, 5, 6, 6, 7, 8, 8, 8, 9, 9, 10, 20

6. Range (difference) DATA:
2, 5, 7, 8, 5, 9, 3, 4, 8, 5, 6, 9, 10, 20, 6, 5, 4, 8, 4, 2
Range (difference)
The difference between the highest and lowest value in a set of data
Easiest way to see is to put them in order….
2, 2, 3, 4, 4, 4, 5, 5, 5, 5, 6, 6, 7, 8, 8, 8, 9, 9, 10, 20
20 – 2 = 18

7. Easiest way to see is to put them in order….
DATA:
2, 5, 7, 8, 5, 9, 3, 4, 8, 5, 6, 9, 10, 20, 6, 5, 4, 8, 4, 2
Outlier
A number that is much different than the test of the numbers. May skew the measurements
Easiest way to see is to put them in order….
2, 2, 3, 4, 4, 4, 5, 5, 5, 5, 6, 6, 7, 8, 8, 8, 9, 9, 10, 20

8. Example World’s Richest Athletes 2016 Rank Name Sport Nation
Total in millions 1
Soccer
Portugal
$88 2
Argentina
$81 3
Basketball
United States
$77 4
Tennis
Switzerland
$68 5
$56 6
Serbia 7
Football
$53 8
Golf 9 10
$50
Cristiano Ronaldo
Lionel Messi
LeBron James
Roger Federer
Kevin Durant
Novak Djokovic
Cam Newton
Phil Mickelson
Jordan Spieth
Kobe Bryant

9. Mean Median Mode Range World’s Richest Athletes 2016
Add the numbers and divide by the number of elements
$88
$81
$77
$68
$56
$53
$50
Mean = 63.3
Median
The middle number when the numbers are placed in order
Median= 56
Mode
The number that appears the most
Mode= 53
Range
The difference between the greatest and smallest number
Range = 38

10. Example World’s Most Popular Sports Rank Name Where watched
Total in millions 1
Europe, Africa, Asia, America
3,500 2
Asia, Australia, UK
2,500 3
US, Canada, China, Phillipines
2,200 4
Europe, Africa, Asia, Australia
2,000 5
Europe, Americas, Asia
1,000 6
Asia, Europe, Americas, Australia
900 7
Asia, Europe, Africa, Americas
850 8
US, Japan, Cuba, Dominican Republic
500 9
United States
410 10
France, England, New Zealand, South Africa 11
Europe, Asia, America, Canada
390
Football (Soccer)
Cricket
Basketball
Field Hockey
Tennis
Volleyball
Table Tennis
Baseball
American Football
Rugby
Golf

11. Mean Median Mode Range World’s Most Popular Sports
Add the numbers and divide by the number of elements
3,500
2,500
2,200
2,000
1,000
900
850
500
410
390
Mean = 1333
Median
The middle number when the numbers are placed in order
Median= 900
Mode
The number that appears the most
Mode= 410
Range
The difference between the greatest and smallest number
Range = 3110

12. These are the scores from a math test:
90, 94, 53, 68, 79, 84, 87, 72, 70, 69, 65, 89, 85, 83, 72
You earned a score of 79. Your mom asks you how you did on the test compared to the rest of the class.

13. Your score: 79 Mean: 1164 / 15 = 77.6 Median: 79 Mode: 72
Numerical Order:
53, 65, 68, 69, 72, 72, 72, 79, 83, 84, 85, 89, 89, 90, 94
Your score: 79
Mean:
1164 / 15 = 77.6
Median: 79
Mode: 72

14. Which describes the data better – mean, median or mode?
Player
Net Worth ( millions)
Michael Jordan
1200
Magic Johnson
600
Shaquille O'Neal
400
Kobe Bryant
350
LeBron James
340
David Robinson
200
Hakeem Olajuwon
Kevin Garnett
190
Grant Hill
180
Gary Payton
130
Tim Duncan
Dirk Nowitzki
120
Kevin Durant
Yao Ming
Dwight Howard
100
Find the mean,median and mode
Mean – add the numbers and divide by 15:
Mean = 292 million
Median – find the number in the middle:
Median = 190 million
Mode – find the number that occurs most:
Mode = 120 million
Which describes the data better – mean, median or mode?
The Median is a better measure – Michael Jordan’s net worth is an outlier that skews the mean too high

15. You have each team's score from each of its games:
There are three different basketball teams and each has played five games.
You have each team's score from each of its games:
Game Game Game Game Game 5
Jaguars
Wolves
Lions
You want to join one of the basketball teams. You want to join the one that is doing the best so far. Which team would you join?

16. Scores
Mean
Median
Mode
Jaguars 77 78
none
Wolves
none 69 80
Lions
68.2 65
none

17. Movies that have won the most Oscars
Amadeus 8
Ben Hur 11
Best Years of Our Lives 7
Bridge on the River Kwai
Caberet
Dances with Wolves
From Here to Eternity
Gigi 9
Going My way
Gone with the Wind
Lawrence of Arabia
Lord of the Rings: Return of the King
My Fair Lady 8
On the Waterfront
Our of Africa 7
Patton
Schindler's List
Shakespeare in Love
Slumdog Millionaire
The English Patient 9
The Last Emporer
The Sting
Titanic 11
West Side Story 10
Find the mean, median, and mode

18. Mean
Add the numbers and divide by the number of elements
Mean = 8.2
Median 8 11 7 9 8 7 9 11 10
The middle number when the numbers are placed in order
7,7,7,7,7,7,7,7,7,7,8,8,8,8,8,8,8,9,9,9,10,11,11,11
Median= 8
Mode
The number that appears the most
Mode= 7
Range
The difference between the greatest and smallest number
Range = 4