Measures of Central Tendency Mean, Median, Mode, Range

Vocabulary Hey Diddle, Diddle, the median’s the middle You add and divide for the mean The mode is the one, that you see the most And the range is the difference between

Mean – average Median – middle Mode – most Range – difference Vocabulary Mean – average Median – middle Mode – most Range – difference

Definition the sum of the data divided by the total number of elements Mean (average) the sum of the data divided by the total number of elements

How long is your last name? Example How long is your last name? Allen 5 6 Howard 9 McPherson Bell 4 6 Imwiko Smith 5 Collins 7 7 Tucker Jackson 6 Gonzalez 8 Matthews Williams 8 8

5 4 7 8 6 6 7 8 9 5 6 8 79 12 6.58 What is the sum of the numbers? What is the mean number of letters in the last names of the students in our class? 5 4 7 8 6 6 7 8 9 5 6 8 What is the sum of the numbers? 79 How many numbers are there? 12 What is the sum divided by the number of elements? 6.58

How long is your first name? Example How long is your first name? Kayla 5 6 Tanner 6 Kahlil Ketrell 7 6 Lathan Evan 4 Camryn 6 5 Sanaa Kamal 5 Anthony 7 Adam Justin 4 6

5 7 6 7 6 6 5 4 6 4 5 6 67 12 5.58 What is the sum of the numbers? What is the mean number of letters in the first names of the students in our class? 5 7 6 7 6 6 5 4 6 4 5 6 What is the sum of the numbers? 67 How many numbers are there? 12 What is the sum divided by the number of elements? 5.58

How many people live in your house? Example How many people live in your house? Kayla Tanner Kahlil Ketrell Lathan Evan Camryn Sanaa Kamal Anthony Adam Justin

What is the mean number of people who live in our houses? What is the sum of the numbers? How many numbers are there? 12 What is the sum divided by the number of elements?

Example US Representatives per State for the Original 13 Colonies New Jersey 12 Connecticut 5 New York 27 Delaware 1 North Carolina 13 Georgia 14 Pennsylvania 18 Rhode Island 2 South Carolina 7 Maryland 8 Vermont Massachusetts 9 Virginia 11

128 13 9.8 What is the sum of the numbers? How many numbers are there? What is the mean number of representatives of the original 13 colonies? 12 5 27 1 13 14 18 2 7 8 9 11 128 What is the sum of the numbers? How many numbers are there? 13 What is the sum divided by the number of elements? 9.8

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

635 10 63.5 What is the sum of the numbers? What is the mean? Total in millions $88 $81 $77 $68 $56 $53 $50 635 What is the sum of the numbers? How many numbers are there? 10 What is the sum divided by the number of elements? 63.5

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

14,660 11 1,332.7 What is the sum of the numbers? What is the mean? Total in millions 3,500 2,500 2,200 2,000 1,000 900 850 500 410 390 What is the sum of the numbers? 14,660 How many numbers are there? 11 What is the sum divided by the number of elements? 1,332.7

Example Highest paid film actors Actor Film Year Total Income (millions) The Matrix 2003 $156 Sixth Sense, 1999 100 Mission Impossible 2 2000 War of the Worlds 2005 Men in Black 3 2012 Gravity 2013 70 Forrest Gump 1994 Mission Impossible 1 1996 Indiana Jones and the Kingdom of the Crystal Skull 2008 65 Batman 1989 60 Inception 2010 59 Pirates of the Caribbean: On Stranger Tides 2011 55 The Avengers 50 Titanic 1997 40 Saving Private Ryan 1998 Alice in Wonderland Keanu Reeves Bruce Willis Tom Cruise Tom Cruise Will Smith Sandra Bullock Tom Hanks Tom Cruise Harrison Ford Jack Nicholson Leonardo DiCaprio Johnny Depp Robert Downey Jr Leonardo DiCaprio Tom Hanks Johnny Depp

Total Income (millions) What is the mean? Total Income (millions) $156 100 70 65 60 59 55 50 40 1,105 What is the sum of the numbers? How many numbers are there? 16 What is the sum divided by the number of elements? 69.1