Boxplots (VCE SSCE General Mathematics): Flashcards

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Boxplots
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Boxplot displays

Five-number summary

Five-number summary components

Min, Q1Q_1, median, Q3Q_3, max

Q1Q_1 meaning

Value below which 25% of data falls

Q3Q_3 meaning

Value below which 75% of data falls

Box in boxplot represents

Middle 50% of data

Outlier definition

More than 1.5×IQR1.5 \times \text{IQR} from nearest quartile

IQR calculation

Q3Q1Q_3 - Q_1

Lower fence formula

Q11.5×IQRQ_1 - 1.5 \times \text{IQR}

Upper fence formula

Q3+1.5×IQRQ_3 + 1.5 \times \text{IQR}

How outliers shown in boxplot

As individual dots or circles

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