Outliers (HSC SSCE Mathematics Standard): Flashcards

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Outliers
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Definition of an outlier

A data value unusually far from most other values in a dataset

Rule used to identify outliers

1.5 IQR rule

Lower limit formula for outliers

Q11.5×IQRQ_1 - 1.5 \times \text{IQR}

Upper limit formula for outliers

Q3+1.5×IQRQ_3 + 1.5 \times \text{IQR}

Condition for a value to be an outlier

Below lower limit or above upper limit

Formula for IQR

Q3Q1Q_3 - Q_1

Effect of outlier on mean in small datasets

Large effect

Effect of outlier on median in small datasets

Smaller effect

Effect of outlier on mode in small datasets

Usually no effect

Best central tendency measure with outliers

Median

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