measures of dispersion

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Last updated 8:47 AM on 3/25/26
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7 Terms

1
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range

the arithmetic distance between the top and bottom values in a data set

2
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range strengths

  • gives an indication of the reliability of the data

  • easier to calculate than standard deviation

3
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range weaknesses

  • affected by extreme values, may not represent data set accurately

  • fails to take into account the distribution of the numbers

4
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standard deviation

most sophisticated way of calculating how much each score in a data set deviates from the mean

5
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method to calculate standard deviation

  1. work out the mean for the data set

  2. subtract the mean of the data set from each data point

  3. square the result of the subtraction

  4. add these up

  5. divide by n-1

  6. calculate the square root

6
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standard deviation strengths

  • a precise measure of dispersion

  • not as affected by extreme values in the data set

7
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standard deviation weaknesses

  • hides characteristics of the data like extreme values

  • time consuming to calculate in comparison with the range

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