Outliers (Edexcel GCSE Statistics): Flashcards

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Outliers
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What is an outlier in a data set?

An extreme value that stands out from the rest of the data.

How does the box plot method identify outliers?

Using IQR: below Q11.5×IQRQ_1 - 1.5×IQR or above Q3+1.5×IQRQ_3 + 1.5×IQR.

What does the IQR measure in a data set?

The spread of the middle 50% of data.

Using the box plot method, when is a data point an outlier?

Below Q11.5×IQRQ_1 - 1.5×IQR or above Q3+1.5×IQRQ_3 + 1.5×IQR.

How are outliers shown on a box plot?

As crosses (×) beyond the whiskers.

What is the 3σ rule in outlier detection?

Data outside ar{x} extpm 3σ are outliers.

Using the standard deviation method, when is a value an outlier?

Outside ar{x} extpm 3σ.

What is the key difference between the two outlier methods?

Box plot focuses on position; SD method on distance from mean.

Why is it important to identify outliers?

They can significantly affect statistical calculations.

Can the two methods identify the same outliers?

Yes, but they may also identify different outliers.

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