Weighted mean (AQA GCSE Statistics): Flashcards

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Weighted mean
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What is a weighted mean in statistics?

An average where values have different importance levels.

How do you calculate a weighted mean?

Use the formula: x̄ = Σ(wx) / Σw.

What does Σ(wx) represent in the formula?

The total of each value multiplied by its weight.

What is the weighted mean of 2, 4, 6 with weights 1, 2, 3?

Weighted mean = 4.0.

Why is the weighted mean useful in grading?

It reflects the importance of different assessments.

Calculate Jim's weighted mean: 10 (w=1), 20 (w=2).

Weighted mean = 16.67.

What is a common mistake in weighted mean calculations?

Forgetting to multiply by weights before adding.

Convert marks: 40/50, 30/40 to percentages.

80%, 75% respectively.

What is the formula for calculating weighted mean?

Weighted mean = (Σ(wx)) / (Σw) where w = weights.

What should you check after calculating weights?

Ensure the total weights add up correctly.

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