Geometric mean (AQA GCSE Statistics): Flashcards
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What is the formula for the geometric mean?
What is the formula for the geometric mean?
Geometric mean = (x1 × x2 × ... × xn)^(1/n)
What is the formula for the geometric mean of n values?
What is the formula for the geometric mean of n values?
GM = (x1 * x2 * ... * xn)^(1/n)
Convert 4% increase to a multiplier.
Convert 4% increase to a multiplier.
Multiplier = 1.04 for a 4% increase.
Convert 5% decrease to a multiplier.
Convert 5% decrease to a multiplier.
Multiplier = 0.95 for a 5% decrease.
Calculate GM of 1.04 and 0.95.
Calculate GM of 1.04 and 0.95.
GM = √{1.04 × 0.95} = 0.994
When to use geometric mean?
When to use geometric mean?
Use for growth rates and percentage changes.
Is geometric mean always ≤ arithmetic mean?
Is geometric mean always ≤ arithmetic mean?
Yes, for the same set of positive numbers.
What is the formula for geometric mean?
What is the formula for geometric mean?
GM = √[n]{x₁ × x₂ × ... × xₙ}
What root to take for 4 values in GM?
What root to take for 4 values in GM?
Take the 4th root for 4 values.
Common mistake with geometric mean?
Common mistake with geometric mean?
Confusing it with arithmetic mean.