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12.3 Measures of Dispersion
Range The difference between the highest  and lowest data values Range = highest – lowest
Example 1 Find the range for  a set of data: A. 10, 20, 30, 40, 50 B. 84, 30, 90, 59, 67, 29
Standard Deviation Dependent on all of the data items Found by determining how each value deviates (or differs) from the mean
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
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

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Measure of Dispersion

  • 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