Statistical Measures (AQA A-Level Mathematics): Flashcards

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Basic Statistical Measures
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Measure of location

A value indicating position of features in a data set (e.g., mean, median, mode)

Meaning of \sum (sigma)

Sum of

Formula for the mean

xˉ=xn\bar{x} = \frac{\sum x}{n}

Two key properties of the mean

Measures centre; uses all data

Formula for median position

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

Two key properties of the median

Measures centre; uses only a single data point

When to use mean

When data has no extreme outliers

When to use median

When data has extreme outliers

Definition of Lower Quartile (LQ)

Median of the lower list

Formula for IQR

IQR=UQLQ\text{IQR} = UQ - LQ

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