Mean Absolute Deviation

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Presentation transcript:

Mean Absolute Deviation

Who's the best guesser? You are going to be picking an age for the celebrity that comes up in the picture. Write down each name and age guessed on your paper. We are going to make a table out of this information.

Who's the best guesser? How old is this person?

Who's the best guesser? How old is this person?

Who's the best guesser? How old is this person?

Who's the best guesser? How old is this person?

Who's the best guesser? How old is this person?

Who's the best guesser? How old is this person?

Who's the best guesser? How old is this person?

Who's the best guesser? How old is this person?

Who's the best guesser? How old is this person?

Who's the best guesser? How old is this person?

Who's the best guesser? How old is this person?

Who's the best guesser? How old is this person?

Who's the best guesser? How old is this person?

Who's the best guesser? Now, lets find out the real age of each of these celebrities Write the actual age down next to the guess you made.

Who's the best guesser? Beyonce 29 Brad Pitt 47 Kanye West 33 Nelson Mandela Barack Obama Hillary Clinton Oprah Winfrey Stevie Wonder 29 47 33 92 49 63 57 60

Who's the best guesser? LeBron James 26 Tyler Perry 42 Simon Cowell 52 Tiger Woods Will Smith 26 42 52 35

Who's the best guesser? In the next column, write down the difference between your guess and the actual value. Write down the positive number difference. Then, add up all of your differences and write the total at the bottom

Who's the best guesser? Make a scatter plot of the data on your paper. On the x-axis plot the actual ages On the y-axis plot your estimate

Who's the best guesser? The last step is to divide the sum of the differences by the number of guesses. What number did you get? The person with the lowest number is the winner! This is called mean absolute deviation!

Math I EQ: How do you find the mean absolute deviation (MAD) of a data set?

Mean Absolute Deviation

How do I do that? 1st Find the mean 2nd Subtract each data from the mean 3rd Take the absolute value of each difference 4th Add it up and divide by the number of data

Mean Absolute Deviation The numbers below are the golf scores for the UGA golf team. Find the mean absolute deviation of the data. 68, 70 , 72, 73, 74, 75 Mean = 72

Mean Absolute Deviation The numbers below are the total points for the Druid Hills basketball team in its last 10 games. Find the Mean Absolute Deviation. 72, 75, 73, 99, 68, 79, 48, 60, 52, 59 11.1

Vocab: Measures of Central Tendency Mean: aka: average; denoted by the symbol x, which is read x-bar. Median: the middle number when values are written in numerical order. Mode: the value that occurs most frequently Measure of dispersion: describes the spread of data Range: the difference between the greatest value and least value of a numerical set of numbers Deviation from the mean: the difference of a data value and the mean of a data set Mean absolute deviation: the average deviation of the data from the mean.

Sample Statistics Median: Separates the data into ___ equal parts Quartiles: Separate the data into ____ equal parts Upper Quartile: The median of the upper half of the data Lower Quartile: The median of the lower half of the data Range: The difference between the highest and lowest values in a data set Interquartile Range: The difference between the upper quartile and the lower quartile.

Read this Plot! List the Following: Median: Range: Quartile 1: Interquartile Range:

Example 1

Example 3 Use the data: