Basic Statistical Measures (Edexcel A-Level Mathematics): Flashcards

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Basic Statistical Measures
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Measure of location

A statistic indicating position of features (e.g., centre, peak) in data

What 'average' means

Measure of location

Meaning of ∑\sum

Sum of

What the mean measures

Centre of a data set

Mean formula

xˉ=∑xn\bar{x} = \frac{\sum x}{n}

Pronunciation of xˉ\bar{x}

x-bar

What the median measures

Centre of a data set

Median position formula

n+12\frac{n+1}{2}

Key property of mean

Uses all data

Key property of median

Uses only a single data point

When mean is best

When data has no extreme outliers

Why median better with outliers

Ignores extreme outliers

Lower Quartile (LQ)

Median of the lower list

Upper Quartile (UQ)

Median of the upper list

IQR formula

IQR=UQ−LQ\text{IQR} = UQ - LQ

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