Methods of Calculating Standard Deviation in Discrete Series

  1. Actual Mean Method
  2. Direct Method
  3. Short-cut Method or Assumed Mean Method
  4. Step Deviation Method

Table of Content

  • Methods of Calculating Standard Deviation in Discrete Series
  • 1. Actual Mean Method
    • Example
  • 2. Direct Method
    • Example
  • 3. Short-Cut Method or Assumed Mean Method
    • Example
  • 4. Step Deviation Method
    • Example

Standard Deviation in Discrete Series

A scientific measure of dispersion that is widely used in statistical analysis of a given set of data is known as Standard Deviation. Another name for standard deviation is Root Mean Square Deviation. Standard Deviation is denoted by a Greek Symbol σ (sigma). Under this method, the deviation of values is taken from the arithmetic mean of the given set of data. Standard Deviation can be calculated in three different series; viz., Individual, Discrete, and Frequency Distribution or Continuous Series. 

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Methods of Calculating Standard Deviation in Discrete Series

Actual Mean MethodDirect MethodShort-cut Method or Assumed Mean MethodStep Deviation Method...

1. Actual Mean Method

In actual mean method, the standard deviation is calculated by taking deviations from the actual mean. The steps taken to determine standard deviation through the actual mean method are as follows:...

2. Direct Method

In Direct Method, there is no need to determine the deviation from the actual mean to calculate standard deviation. The steps taken to determine standard deviation through the direct method are as follows:...

3. Short-Cut Method or Assumed Mean Method

Actual Mean can sometimes come in fractions, which can make the calculation of standard deviation complicated and difficult. In those cases, it is suggested to use Short-Cut Method to simplify the calculations. The steps taken to determine standard deviation through the assumed mean method are as follows:...

4. Step Deviation Method

This method is almost like the assumed mean method. The only difference in the formulas of both methods is that in the step deviation method, the deviations are divided by a common factor (C), and then the standard deviation is determined. The steps taken to determine standard deviation through the step deviation method are as follows:...