Outliers (AQA GCSE Statistics): Flashcards

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Outliers
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What defines an outlier in a data set?

An outlier is an extreme value that differs significantly.

How to identify outliers using quartiles?

Use Q11.5imesIQRQ_1 - 1.5 imes IQR and Q3+1.5imesIQRQ_3 + 1.5 imes IQR.

What is the IQR if Q1=3Q_1=3 and Q3=9Q_3=9?

IQR = 93=69 - 3 = 6.

Identify outliers: 0, 1, 2, 3, 20 using quartiles.

20 is an outlier; Q1=1Q_1=1, Q3=3Q_3=3, IQR=2.

What indicates an outlier in a box plot?

Outliers appear as crosses (×) beyond the whiskers.

What are the outlier boundaries for mean=46, SD=10.8?

Lower: 14.4, Upper: 77.6.

How to determine if 95 is an outlier with mean=46, SD=10.8?

Check if 95 > mean + 2*SD; if yes, it's an outlier.

When to use the quartile method?

Use it for smaller data sets without distribution assumptions.

What is the standard deviation rule for outliers?

Values > 3 SDs from the mean are outliers.

Key step in outlier calculations?

Always show your working and state your method.

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