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Summary How to find standard deviations

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Remember when calculating variance to square each deviation so that positive and negative differences do not cancel each other out. When taking the square root of the variance to get the standard deviation, always check if the variance is positive or zero, since the square root of a neg...

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  • June 11, 2024
  • 3
  • 2023/2024
  • Summary

Subjects

  • standard deviations
  • mode
  • mwdian
  • range

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  • Secondary school
  • Mathematics
  • 1
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How to Find the Standard Deviation, Variance, Mean, Mode, and
Range for any Data Set



Mean

The mean is the average of all the numbers in a data set and is
sometimes called the arithmetic mean. To calculate the mean,
follow these steps:

1. Add up all the numbers in the data set.

2. Divide the sum by the number of values in the data set.

Variance

The variance is a measure of how spread out the data points are
from the mean. To calculate the variance, follow these steps:

1. Find the mean of the data set.

2. Subtract the mean from each of the data points and square
the result (this is called the squared deviation).

3. Find the average of the squared deviations.

Standard Deviation

The standard deviation is the square root of the variance. The
standard deviation provides a measure of the typical spread of the
data set in the same units as the data.

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