Measures of Central Tendency

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Presentation transcript:

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

the middle number in a sorted list of data Definition Median (middle) the middle number in a sorted list of data

How long is your last name? Example How long is your last name? Benton 6 Grayson 7 McWilliams 10 6 Brooks Harris 6 Poquiz 6 Cottman 7 Henson 6 Simms 5 Debnam 6 Jackson 7 5 Smith 7 Dillard Mack 4 Tilghman 8 Ebuwei 6 4 Gage

What is the median number of letters in the last names of the students in our class? 6 6 7 6 7 6 7 6 6 7 4 10 6 5 5 8 4 Put the numbers in order from smallest to largest 4 4 5 5 6 6 6 6 6 6 6 7 7 7 7 8 10 Choose the number that is in the middle The median is 6

How long is your first name? Example How long is your first name? Taj 3 Amber 5 Winfre 6 6 Azzure Darius 6 Jawann 6 Anthony 7 Kennedi 7 Kelly 5 Courtney 8 Nadia 5 4 Keon 6 Tyrone JT 2 Duane 5 Peter 5

What is the median number of letters in the last names of the students in our class? 3 6 7 8 6 5 5 6 7 5 2 6 6 5 4 5 Put the numbers in order from smallest to largest 2 3 4 5 5 5 5 5 6 6 6 6 6 7 7 8 Choose the number that is in the middle When there is an even number of numbers, the median is the average of the 2 middle numbers is 6 The median is (5 + 6)÷2 = 5.5

Example American League MLB wins 2014 Baltimore NY Yankees Toronto 96 NY Yankees 84 Toronto 83 Tampa Bay 77 Boston 71 Detroit 90 Kansas City 89 Cleveland 85 Chicago 73 Minnesota 70 Los Angeles 98 Oakland 88 Seattle 87 Houston Texas 67

What is the median of the wins? First put the numbers in order 67 70 70 71 73 77 83 84 85 87 88 89 90 96 98 96 84 83 77 71 90 89 85 73 70 98 88 87 67 What is the middle number? 84

Age of Disney Channel Actors 23 23 23 20 14 Bridgit Mendler Miley Cyrus Selena Gomez Ross Lynch Rowen Blanchard 30 19 28 23 23 Raven Symone Hillary Duff Cole Sprouse Zendaya Demi Lovato

What is the median of the ages? First put the numbers in order 14, 19, 20, 23, 23, 23, 23, 23, 28, 30 What is the middle number, or average of 2 middle numbers? 23

Top 15 shows in adults 18-49 for March 28-April 3, 2016 Net 18-49 Rating ACM AWARDS CBS 2.3 AMERICAN IDOL FOX 2.1 CHICAGO FIRE NBC 1.7 CHICAGO MED 1.8 CRIMINAL MINDS DANCING WITH THE STARS ABC EMPIRE 4.8 GREY’S ANATOMY 2.2 LIFE IN PIECES – F LITTLE BIG SHOTS SCANDAL SURVIVOR 2 THE BIG BANG THEORY 3.5 THE VOICE – MONDAY 2.8 THE VOICE – TUESDAY 2.4

What is the median of the ratings? First put the numbers in order 1.7 1.7 1.7 1.7 1.8 1.8 1.8 2.0 2.1 2.2 2.3 2.4 2.8 3.5 4.8 What is the middle number, or average of 2 middle numbers? 2.0