Geometric mean (Edexcel GCSE Statistics): Flashcards

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Geometric mean
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What is the geometric mean used for?

Ideal for growth rates, interest, ratios, and multiplication.

What is the formula for geometric mean?

nth root of the product of n values, like racproductof values.

How do you handle percentage changes for geometric mean?

Convert % increases to >1, decreases to <1, then multiply.

What is a common mistake in geometric mean calculations?

Confusing with arithmetic mean; forget roots or convert percentages.

When are geometric means particularly useful?

In growth, interest rates, percentage changes, ratios.

How does the geometric mean differ from the arithmetic mean?

Uses multiplication and roots, not addition and division.

What should you do if given percentage changes over years?

Convert percentages to multipliers, then calculate geometric mean.

Why is geometric mean preferred for rates and growth?

Because it accounts for compounding and multiplicative effects.

What helps prevent errors in geometric mean problems?

Set up correct equations and systematically solve.

Find x if GM = 6 for 4 numbers: 4.5, 8, x, x

x = 6

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