What Is Standard Deviation and How Does It Measure Data Variation?

Learn what standard deviation is and how it measures the spread or variation in a data set from the average (mean).

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Standard deviation is a measure that quantifies the amount of variation or dispersion in a set of numerical data. It indicates how much individual data points deviate from the mean (average) of the dataset. A low standard deviation means data points are close to the mean, while a high standard deviation indicates significant variation.

FAQs & Answers

  1. What is standard deviation in statistics? Standard deviation is a statistical measure that quantifies the amount of variation or dispersion in a set of numerical data points.
  2. How is standard deviation different from variance? Variance measures the average squared deviation from the mean, while standard deviation is the square root of variance, providing dispersion in the same units as the data.
  3. What does a low standard deviation indicate about a data set? A low standard deviation means that the data points are closely clustered around the mean, indicating low variability within the data set.

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