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Measure of Dispersion
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Measure of Dispersion

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  • 1. 12.3 Measures of Dispersion
  • 2. Range
    The difference between the highest and lowest data values
    Range = highest – lowest
  • 3. Example 1
    Find the range for a set of data:
    A. 10, 20, 30, 40, 50
    B. 84, 30, 90, 59, 67, 29
  • 4. Standard Deviation
    Dependent on all of the data items
    Found by determining how each value deviates (or differs) from the mean
  • 5. Computing the standard deviation for a data set
    1. Find the mean of the data items.
    2. Find the deviation of each data from the mean
    data item – mean
    3. Square each deviation
    (data item – mean) 2
    4. Sum the squared deviations
    ∑ (data item – mean) 2
  • 6. Cont…
    5. Divide the sum by n-1 where n represents the number of items.
    ∑ (data item – mean) 2
    n-1
    6. Take the square root of the answer.
    √ ∑ (data item – mean) 2
    n-1