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Question

What do you understand by standard deviation?


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Solution

Define standard deviation.

The standard deviation is a statistic that measures the dispersion of a dataset relative to its mean.

  • It is calculated as the square root of the variance.
  • The standard deviation is calculated as the square root of variance by determining each data point's deviation relative to the mean.
  • The standard deviation is represented by σ.

σ=i=1n(xi-x¯)2n-1

where:

xi is the value of the ith point in the data set

x¯ is the mean value of the data set

n is the number of data points in the data set​


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