Frequently Asked Questions

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What is the difference in the formulas of variance and standard deviation?

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The formula of the variance is the average of the squared deviations from the mean while the formula of standard deviation is the square root of a number (variance result).

How variability can be measured?

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Variability can be measured in four different ways

  • Range: Difference between highest and lowest value.
  • Interquartile range: the range between the middle half of the distribution.
  • Standard deviation: Typical distance of data values from the mean.
  • Variance: Average of squared distances from the expected value.

How to find the standard deviation?

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To calculate the standard deviation follow the below steps.

Step 1: Calculate the mean.

Step 2: Find the difference between each data value from the mean.

Step 3: Take the square of deviations to make them positive.

Step 4: Add the squared deviations.

Step 5: Divide the square deviations by the degree of freedom (n-1) or (n).

Step 6: Take the square root of the result of the quotient. The result will be a standard deviation.

Why standard deviation is used?

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A standard deviation measures how variable your data set is on average. The average deviation from the mean gives you the distance between each observation and the mean.