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Answer :

The average of a distribution is equal to the summation of x divided by the number of observations is called Mean

Step-by-step explanation:

The average of a distribution is equal to the summation of x divided by the number of observations is called Mean

For :

  • We know that [tex]The average (Mean)=\frac{sum of the observations}{Number of observations}[/tex]
  • [tex]Mean=\frac{\sum x}{N}[/tex] where N is the number of observations

Therefore the average of a distribution is known as Mean.

Arithmetic mean is the average of a distribution that is defined as the sum of [tex]x[/tex] observations.

Average of a Distribution

Arithmetic mean is the average of a distribution that is defined as the sum of [tex]x[/tex] observations. It's as simple as adding up a bunch of numbers and then dividing that total by the number of numbers in the series.

It enables the characterization of the center of a quantitative variable's frequency distribution by taking into account all of the observations with the same weight assigned to each (in contrast to the weighted arithmetic mean).

The arithmetic mean is commonly employed not only in mathematics and statistics, but also in economics, sociology, and history. Per capita income, for example, is the arithmetic mean income of a country's population.

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