To calculate normal distributions values must be?

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Author:Amos Gilat
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To calculate normal distributions values must be?
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Step 1

Standard normal distribution:

The standard normal distribution is a special case of normal distribution, in which the mean of the distribution is 0 and standard deviation of the distribution is 1. The Z-scores for the given sample size can be calculated using the given formula.

Statistics homework question answer, step 1, image 1

Step 2

The procedure for obtaining the percentage of all the possible observations that lie within the specified range is as follows:

  • Sketch the normal curve associated with the variable.
  • Shade the region of interest and mark the delimiting x-values.
  • Compute the z-scores for the x-
  • Find the area under the standard normal curve for the computed z-scores using standard normal table.

Several tests of normality exist, using which you can verify whether a particular data follows the normal distribution.

Usually, before conducting a formal test, we prefer to take the help of graphical methods, to see if the data may be assumed to follow the normal distribution, at least approximately. A few such graphical methods are:

  • Histogram of the data , superimposed with a normal probability curve,
  • Normal probability plot with confidence interval,
  • Normal quantile-quantile (QQ) plot.
  • Boxplot, etc.
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