Quartiles and Interquartile Range (HSC SSCE Mathematics Advanced): Flashcards

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Quartiles and interquartile range
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No. of parts quartiles divide ordered data into

Four approximately equal parts

Lower quartile (Q1Q_1) definition

Value separating lowest 25% of data from the rest

Upper quartile (Q3Q_3) definition

Value separating highest 25% of data from the rest

First step to find quartiles

Arrange data in increasing (ascending) order

Formula for interquartile range (IQR)

Q3−Q1Q_3 - Q_1

What IQR measures

Spread of the middle 50% of the data

Five components of five-number summary

Minimum, Q1Q_1, Median, Q3Q_3, Maximum

Outlier criterion using IQR

More than 1.5imesextIQR1.5 imes ext{IQR} from Q1Q_1 or Q3Q_3

Why quartile-based stats are robust

Not heavily influenced by outliers

What a box-and-whisker plot displays

Visual representation of five-number summary

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