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. Standard deviation is a measure of the ________.center of a data setposition of a data value in a data setarea under a normal curvespread of a distribution

Question

Standard deviation is a measure of the ________.

  • center of a data set
  • position of a data value in a data set
  • area under a normal curve
  • spread of a distribution
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Solution

Standard deviation is a measure of the spread of a distribution.

It quantifies the amount of variation or dispersion in a set of values. A low standard deviation indicates that the data points tend to be close to the mean (average) of the set, while a high standard deviation indicates that the data points are spread out over a wider range of values. In other words, standard deviation provides insights into how much individual data points differ from the mean. This measure is crucial in statistics as it helps in understanding how much variability or consistency exists within a dataset. Hence, when evaluating data, the standard deviation is a fundamental statistic for assessing risk and uncertainty in various fields, including finance, science, and psychology.

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