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**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.**

$1S\mathrm{tan}dardDeviation=\frac{3.5-1.5}{3}$

=0.6667

**Thus the rating has a standard deviation of 0.6667**

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