Measures of Central Tendency

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Presentation transcript:

Measures of Central Tendency Mean, Median and Mode

Finding Mean, Median and Mode Step 1: Organize your data by listing it from the smallest to largest number! (13, 12, 8, 10, 5, 13, 14) (5, 8, 10, 12, 13, 13, 14)

Mean The mean of the data set is its average. To find the mean you add up all the numbers and divide the answer by how many numbers you have. (5, 8, 10, 12, 13, 13, 14) Mean = 10.71

Median The Median is the number which is in the exact middle of the data set. (5, 8, 10, 12, 13, 13, 14) Median = 12

Mode The Mode is the number that appears the most often if you are working with only one variable. (5, 8, 10, 12, 13, 13, 14) Mode = 13

ON YOUR OWN Find the mean, median, and mode for the following data set. (4, 8, 6, 10, 4, 2)

Measures of Variability (Dispersion) Range, Interquartile Range and the Mean Absolute Deviation

Range The range of the data set is the difference between the largest and smallest number in the set. To find the range, you simply subtract the smallest number from the largest number in the set. (5, 8, 10, 12, 13, 13, 14) Range = 14-5=9

Mean Absolute Deviation The mean absolute deviation of a numerical data set is the average deviation of the data from the mean.

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 Do the same for Georgia Tech: 66, 69, 70, 71, 74, 76