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Central Tendency

Central Tendency. The Three “M”s. Mean. Median. Mode. Mean. ADD. First , __________ the data values. . DIVIDE. Then __________ by the number of data items. Median. First , the data values need to be arranged _____ __________. . in order. middle.

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Central Tendency

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  1. Central Tendency The Three “M”s Mean Median Mode

  2. Mean ADD First, __________ the data values. DIVIDE Then __________ by the number of data items.

  3. Median First, the data values need to be arranged _____ __________. in order middle Then find the _____________ number. even If there is an _________ number of data... add You ________ the TWO middle numbers 2 divide and __________ by ___.

  4. Mode The data item or items that occur the __________ often. most

  5. Range (not a central tendency) difference Find the _____________ between the lowest and highest value.

  6. Example #1

  7. 4, 7, 8, 2, 1, 2, 4, 2 Mean: Add them all up and divide by how many you have 4 7 8 2 1 2 4 2 30 + + + + + + + = 3.75 30 8 ÷ = That is the mean! Often referred to as the “average”

  8. 4, 7, 8, 2, 1, 2, 4, 2 Median: Put them in order. Find the middle. Oh no! 1 2 2 2 4 4 7 8 That is your median! Add them together and divide by 2. 2 4 6 2 3 + = ÷ =

  9. 4, 7, 8, 2, 1, 2, 4, 2 Mode: MOST often Look at your list from the median 1 2 2 2 4 4 7 8 Which occurs the MOST often? That makes 2 the MODE

  10. 4, 7, 8, 2, 1, 2, 4, 2 Range: Subtract the highest and lowest values. 1 2 2 2 4 4 7 8 8 - 1 7 That is your range

  11. Example #2

  12. 5,8,13,12,7,4,8 Mean: Add them all up and divide by how many you have 5 8 13 12 7 4 8 57 + + + + + + = 8.142857 57 7 ÷ = Round to the TENTH 8.1

  13. 5,8,13,12,7,4,8 Median: Put them in order. Find the middle. 4 5 7 8 8 12 13 8 That is your median!

  14. 5,8,13,12,7,4,8 Mode: MOST often Look at your list from the median 4 5 7 8 8 12 13 Which occurs the MOST often? That makes 8 the MODE

  15. 5,8,13,12,7,4,8 Range: Subtract the highest and lowest values. 4 5 7 8 8 12 13 13 - 4 9 That is your range

  16. Outliers

  17. Outlier extreme Known as an “_______________” value. high Value(s) that are too _______ or too _______. low

  18. Determine the outlier in each set of data and its effect on the data #1 88, 90, 55, 94, 89 The outlier will make the data decrease #2 16, 64, 88, 73, 57 The outlier will make the data decrease #3 46, 64, 58, 53, 98 The outlier will make the data increase

  19. Determine the outlier. Then determine its affect on the mean, median, and mode. 7, 9, 30, 9, 5, 6 The outlier will make the data increase

  20. 7, 9, 30, 9, 5, 6 Mean 7 + 9 + 9 + 5 + 6 7 + 9 + 30 + 9 + 5 + 6 = 66 = 11 = 36 = 7.2 ÷ 6 ÷ 5 7.2 11 INCREASES The outlier (30) ___________ the mean by _____ 3.8 ( 11 - 7.2 = 3.8)

  21. 7, 9, 30, 9, 5, 6 Median 7 + 9 = 16 ÷2 = 8 5 6 7 9 9 5 6 7 9 9 30 7 8 INCREASES The outlier (30) ___________ the median by ___ 1 ( 8 - 7 = 1)

  22. 7, 9, 30, 9, 5, 6 Mode 5 6 7 9 9 5 6 7 9 9 30 9 9 does not change The outlier (30) _____________ the mode

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