Geometric Mean
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Mathematics
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Hard
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1.
FLASHCARD QUESTION
Front
What is the geometric mean of two numbers a and b?
Back
The geometric mean of two numbers a and b is defined as the square root of their product: √(a*b).
Tags
CCSS.8.EE.A.2
2.
FLASHCARD QUESTION
Front
How is the geometric mean used in statistics?
Back
The geometric mean is used to calculate average rates of return in finance and to find central tendency in skewed distributions.
3.
FLASHCARD QUESTION
Front
What is the formula for the geometric mean of n numbers?
Back
The geometric mean of n numbers x1, x2, ..., xn is given by (x1 * x2 * ... * xn)^(1/n).
4.
FLASHCARD QUESTION
Front
When is the geometric mean preferred over the arithmetic mean?
Back
The geometric mean is preferred when dealing with multiplicative processes or when the data is skewed.
Tags
CCSS.6.SP.B.5D
CCSS.HSS.ID.A.2
5.
FLASHCARD QUESTION
Front
Calculate the geometric mean of 4 and 16.
Back
The geometric mean is √(4*16) = √64 = 8.
6.
FLASHCARD QUESTION
Front
What is the relationship between the geometric mean and the harmonic mean?
Back
The geometric mean is always greater than or equal to the harmonic mean for a given set of positive numbers.
7.
FLASHCARD QUESTION
Front
If the geometric mean of two numbers is 10 and one of the numbers is 5, what is the other number?
Back
Let the other number be x. Then √(5*x) = 10, so x = 40.
Tags
CCSS.8.EE.A.2
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