Normal probability distribution

Answer

Normal distribution mean

The mean of the normal Distribution is usually equals to Median and Mode.

Notably, it is symmetry about the center.

The 50% of the entries are less than the mean and 50% are greater than the mean.

Normal standard deviation

The Standard Deviation measures how spread out the numbers are.

For instance;

A food distribution company receives rating has 10 ratings ranging from 1-5

The mean of the ratings would be a point between ratings 1.5 and 3.5

$=\frac{(1.5+3.5)}{2}$

=2.5

The mean will be 2.5

b) Calculating the Standard deviation will be;

Taking a 95% confidence interval on the ratings.

As illustrated in the excel presentation above, there are three parts on each side of the curve which depicts the 3 standard deviations.

$1 S\tan dard Deviation=\frac{3.5-1.5}{3}$

=0.6667

Thus the rating has a standard deviation of 0.6667

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