The mean is defined as the

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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