A+ » VCE » Further Maths U3 & 4 Master Notes » A1 Data Analysis » FM Standard Deviation

# FM Standard Deviation

## 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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## 1.6 Describing Numerical Distributions

### Shape

• The shape of a numerical distribution relies on two factors: symmetry and outliers.
• If you can draw a vertical line through some point in the distribution whereby the distribution to the left of the line looks similar to a mirror image of the distribution to the right of it, it is an approximately symmetrical distribution. If this is not the case, the distribution is asymmetric.

Note: in some cases, you may find situations where the distribution has perfect symmetry. In these situations, you can drop the “approximately” term and refer to it simply as symmetrical.

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