Averages from grouped data (AQA GCSE Statistics): Flashcards

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Mean
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How to estimate mean from grouped data?

Use midpoints and the formula: Mean = Σfx / Σf.

What is the formula for mean from grouped data?

Mean = Σfx / Σf, where fx is frequency times midpoint.

How to find the midpoint of an interval?

Midpoint = (lower boundary + upper boundary) / 2.

Calculate midpoint for 20 < T ≤ 30.

Midpoint = (20 + 30) / 2 = 25.

What is Σf in mean calculation?

Σf is the total of all frequencies in the table.

Calculate mean for homework times data.

Mean = 325 / 25 = 13 minutes.

Why is the mean from grouped data an estimate?

We use midpoints, not actual values, for intervals.

What should you always show in exam answers?

Always show your working in a clear table format.

What is the total frequency for driving experience data?

Total frequency = 8 + 12 + 14 + 11 + 5 = 50.

Why check arithmetic in mean calculations?

Addition errors are common; check to ensure accuracy.

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