How to Calculate Standard Deviation of Percentage Differences

Percentage difference gives you a concrete representation of the differences between individual numbers in a set. Knowing how greatly these percentages differ from one another provides a further layer of differentiation and a stronger sense of how great or small the difference between points of data really is. Finding this extra layer of difference data is fairly easy since the standard deviation of percentage differences follows the same pattern as any other standard deviation calculation.

Things You'll Need

  • Calculator
  • List of percentage differences
Show More

Instructions

    • 1

      Add all the numbers from your list of percentage differences together. Note the total.

    • 2

      Divide your total by the number of percentage differences in your list. For example, if the total of your percentage differences is 55 and you have 5 numbers in your list, you would divide 55 by 5 (55/5). Write down the result of the calculation. This is the average of your percentage differences.

    • 3

      Subtract the average of your percentage differences from each percentage difference on your list. For example, if the average of your percentage differences is 11 and your percentage differences are 9 percent, 12 percent, 11 percent, 13 percent and 10 percnet, then subtract 11 from 9, 12, 11, 13 and 10. Write down each of the resulting numbers.

    • 4

      Find the square of each of your resulting numbers. If one of your resulting numbers is 2, for example (13-11 = 2), multiply it by itself (2 x 2) to find its square (4). Make a note of each of these squared numbers.

    • 5

      Add your squared numbers together. Write down this sum.

    • 6

      Divide the sum of your squared numbers by the number of percentage differences in your list minus 1. For example, if the total number of percentage differences in your original list is 5 and the sum of your squared numbers is 7, then you will divide 7 by 4 (since 5 - 1 = 4). Make a note of this number, your divided sum of squares.

    • 7

      Use the calculator to find the square root of your sum of squares. This number is the standard deviation of your percentage differences.

Learnify Hub © www.0685.com All Rights Reserved