The standard deviation of a sample was reported to be 30. the report indicated that deviation squared ( ) is equal to 7200. what has been the sample size?

Respuesta :

Standard deviation = square root of Σ(x-average)^2/N = 30

Σ(x-average)^2 = 7200

Putting the values in standard deviation formula where N= sample size.

30 = sqrt of Σ(x-average)^2 /N

Squaring off

900 = 7200/N

N=8

what is standard deviation?

The square root of the variance is used to calculate the standard deviation, a statistic that expresses how widely distributed a dataset is in relation to its mean. By calculating the departure of each data point from the mean, the standard deviation may be determined as the square root of variance.

  • A dataset's dispersion from its mean is measured by standard deviation.
  • It is determined as the variance's square root.
  • In the financial industry, standard deviation is frequently employed as a gauge of an asset's relative riskiness.
  • A volatile stock does have a greater variance, whereas a stable blue-chip stock often has a low standard deviation.

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