Sample medians and sample ranges (Edexcel GCSE Statistics): Flashcards

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Sample medians and sample ranges
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If sample range is 0.4g within warnings, act?

No action needed

Calculate warning limits for target 125 σ=3.5

Warning limits: 118g and 132g

Is median 129g within warning limits 118–132?

Yes — 129g lies within 118 and 132 (no action)

How to find median for a sample of 7 values?

Sort values then pick the 4th (middle) value

Median of 15.2,14.9,15.3,15.0,15.1,14.9,15.1?

Median = 15.1 g

Range of 15.2,14.9,15.3,15.0,15.1,14.9,15.1?

Range = 0.4 g

Median action limits for 125g, σ=3.5?

114.5 g to 135.5 g

Median limits: target 125g, σ=3.5 — find limits

Warning 118g/132g; Action 114.5g/135.5g

Find range: weights 15.2,14.9,15.3,15.0,15.1,14.9,15.1

Range = 15.3 − 14.9 = 0.4g

Is median 127g within warning? target125, σ=3.5

Yes; warning limits 118g–132g, 127g is within

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