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Measures of Central Tendency

Measures of Central Tendency. Mean, Median, Mode, and Range. Definitions- Mean is the sum of all the data divided by the total number of observations. This is what we usually call the average. Median is the central number when all the data is arranged in numerical order.

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Measures of Central Tendency

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  1. Measures of Central Tendency Mean, Median, Mode, and Range

  2. Definitions- • Mean is the sum of all the data divided by the total number of observations. This is what we usually call the average. • Median is the central number when all the data is arranged in numerical order. • Mode is the data item appearing most often. There can be more than one or none. • Range is the difference between the smallest and largest number in the data set. Mean, Median, Mode, and Range

  3. Given the list of test grades, find the mean: • 63, 77, 93, 63, 93, 90, 85, 81, 93, 89, 85, 101, 69 • To find the mean, add up all of the numbers and then divide by the total number given. • 63+77+93+63+93+90+85+81+93+89+85+ 101+69 = 1082 • 1082 ÷ 13 = 83.2 Mean

  4. Given the list of test grades, find the median: • 63, 77, 93, 63, 93, 90, 85, 81, 93, 89, 85, 101, 69 • Put the grades in order. • 63, 63, 69, 77, 81, 85, 85, 89, 90, 93, 93, 93, 101 • What number is in the middle? • 85 Median

  5. Given the list of test grades, find the mode: • 63, 77, 93, 63, 93, 90, 85, 81, 93, 89, 85, 101, 69 • What numbers are repeated? • 63 – 2 • 85 – 2 • 93 – 3 • Mode is 93. Mode

  6. Given the list of test grades, find the range: • 63, 77, 93, 63, 93, 90, 85, 81, 93, 89, 85, 101, 69 • The biggest number is 101. • The smallest number is 63. • 101 – 63 = 38 Range

  7. Turn to a partner and tell each other the definitions of each word: • Mean • Median • Mode • Range • I will give you 2 minutes! Mean, Median, Mode, and Range

  8. Try one on your own: • Given the grams of protein per serving of some foods, find the mean, median, mode, and range: • 24, 35, 42, 10, 32, 24, 10, 18, 16, 18, 12, 30 • How did you do??? • Mean is about 22. • Median is 21. • Mode is 10, 18, 24. • Range is 32. Mean, Median, Mode, and Range

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