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Measures of Central Tendency

Measures of Central Tendency. MODE. Mean. RANGE. MEDIAN. Mean – Average of all the data. Busses to each school:. 8. Middle. 7. Same number of busses, however now evenly distributed = mean. 6. Intermediate. 7. 4. 7. Elementary. 7. 10. High school. 8 + 6 + 4 + 10 = 28.

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Measures of Central Tendency

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  1. Measures of Central Tendency MODE Mean RANGE MEDIAN

  2. Mean – Average of all the data Busses to each school: 8 Middle 7 Same number of busses, however now evenly distributed = mean 6 Intermediate 7 4 7 Elementary 7 10 High school 8 + 6 + 4 + 10 = 28 28 ÷ 4 = 7 Total 28 busses

  3. Find the Mean 6 4 3 2 0 Step 1 – add the numbers 3 + 4 + 6 + 0 + 2 = 15 Step 2 – divide by the number of numbers 15 ÷ 5 = 3

  4. Mean – 8 +5 + 7 + 12 4 = 8

  5. Outliers Outliers are numbers that are way higher or way lower than the rest of the set of data. Example: Temperatures Monday-Friday: 80, 81,60,77,82 The OUTLIER would be 60 – it is quite a bit lower than the rest of the numbers

  6. Median – Middle number Step 1 – put numbers in order from least to greatest \ 7, 8, 10, 11, 15, 15, 20, 20, 25 \ \ \ \ \ \ \ Step 2 - Cross off the numbers from the outside to the inside Median = 15

  7. Median – middle number Step 1 – order least to greatest Step 2 – cross off until middle number Step 3 – average of those 2 numbers **with an even number of numbers 32, 40, 50, 55, 60, 63 \ \ \ \ 50 + 55 2 1 2 = 52

  8. Mode – the number or numbers that occur the most Mode = 32 Mode = 12, 15, 16, 20 Mode = no mode

  9. Range – largest number minus the smallest number 70 – 56 = 14

  10. Measures of Central Tendency summary • MEAN– add up the numbers and divide by the number of number • MEDIAN – the middle number • MODE– the number that occurs the most • RANGE - the difference between the largest and smallest number

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