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FM Mean

1.10 Further Statistical Concepts

Population

• In statistics, a population is all people, objects or events defined by a set number of characteristics.
• When dealing with data representing an entire population, we use the following symbols for population parameters:

Mean: \mu (Greek symbol mu)

Standard Deviation: \sigma (Greek symbol sigma)

Examples

Examples of populations can include dogs in Melbourne, marbles in a sack or visits to a zoo.

Sample

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1.5 Basic Statistical Concepts

Mean

• The mean of a numerical distribution is found by summing up the values of all individual data points, then dividing by the number of data points.
• It is represented by either a capital letter with a bar drawn above it, or the Greek symbol mu (µ):

\bar{X}=\frac{\sum_{i=1}^{N} x_{i}}{N}

Where N is the total number of data points, and represents the i’th datapoint.

Note: the symbol \Sigma is short for “sum of”, so \sum_{i=1}^{N} x_{i} represents the sum of all individual data points (from datapoint 1, to datapoint N)

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