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# ACMGM048

## 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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## 1.3 Statistical Analysis of Categorical Distributions

Answering Statistical Questions on Categorical Distributions

### Mode

• The mode of categorical data refers to the category with the highest frequency.

Note: the mode of a categorical distribution is also known as the modal category, or dominant category

Example

Given the bar chart:

Red has the highest frequency and so it is the modal category.

### Guidelines to analysing categorical distributions

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