notes
Mean

Mean

Definition

Definition

The mean of a population or a sample of a population is a measure of central tendency. For data x ix_i, it is defined as

x¯=1nx i \bar{x} = \frac1n \sum x_i

Properties

Behaviour Under Coding

Suppose that the data x ix_i is coded as y iy_i via the following formula in which aa and bb are constant:

y i=ax i+b y_i = a x_i + b

Then the means of y iy_i and x ix_i are related via:

y¯=ax¯+b \bar{y} = a \bar{x} + b

Spreadsheet

In a spreadsheet, the formula to calculate the mean of a range is:

=average(<range>)

category: statistics