Estimating the median (Edexcel GCSE Statistics): Flashcards

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Estimating the median
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Which class interval contains the median?

Where cumulative frequency just exceeds n/2

How is frequency density calculated?

Frequency divided by class width

Why is the median possibly a decimal?

Median position may be a decimal, expected in answer

Estimate median: lower boundary 5 plus width 3.5

Estimated median = 8.5

Calc total n from 10×3,5×7,10×4,15×5,10×1

n = 190

Estimate median: lower 35 and width needed 7.5

Estimated median = 42.5 years

Estimate median: lower boundary 5 plus width 3.5

Estimated median = 5 + 3.5 = 8.5

Find median position and class: n=190, cum freqs 30,65,105,190

95; in 35<y≤45 (3rd class)

Estimate median: lower=35, cum before=65, density=4, pos=95

Median = 35 + (95-65)/4 = 42.5

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