A. average of a data set.

B. middle of the data set.

C. range of the data set.

D. number that shows up most often in a data set.

**Scoring Answer:** **A. average of a data set.**

- An average of a data set is defined as its mean.
- The term “average” is a synonym for “arithmetic mean.”
- It is simply determined by summing all of the observations in the data and dividing by the number of observations.
- To put it another way, the mean is the total of all observations divided by the number of observations.
- The formula of mean is:

$\text{Mean}=\dfrac{\text{Sum of the terms}}{\text{Number of terms}}$

**Example: **

Find the mean of the given data: $2,4,5,9$

First of all, we are going to add the given data:

$2+4+5+9=20$

Since there are 4 data points.

$\operatorname{mean}=\frac{20}{4}=5$

The mean is $5 .$

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