Grade 8 Math · Statistics & Probability

Identify clusters and outliers

Identify clusters and outliers.

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What you’ll learn

Identify clusters and outliers.

Key idea

A scatter outlier is separated from the displayed pattern; it need not have the largest output.

Isolation concerns the whole displayed pattern, not maximum y; no formal distribution cutoff or automatic deletion.

Worked example

Classify examples and non-examples for the concept 'Identify clusters and outliers'.

Classify O relative to this observed point cloud, with separation evidence.

-6-4-202466420-2-4-6-8****Oxy

Marked coordinates: *=(-2, 2); *=(-1, 2); *=(-2, 1); *=(-1, 1); O=(7, -8).

  1. The cluster occupies a unit square: {(-2,1),(-1,1),(-2,2),(-1,2)}.
  2. The isolated pair is (7, -8); horizontal separation from the nearest cluster edge is 8, far larger than the cluster width.

Answer: O is an outlier — four observations cluster in x=-2..-1,y=1..2, but (7,-8) is isolated.

Quick Check

Classify examples and non-examples for the concept 'Identify clusters and outliers'.

Classify O relative to this observed point cloud, with separation evidence.

-6-4-202466420-2-4-6-8****Oxy

Marked coordinates: *=(0, -1); *=(1, -1); *=(0, -2); *=(1, -2); O=(6, -8).

Choose one answer

Show a hint

Locate the compact group before judging isolated points.