what is a geometric mean?
Answer (1)
Answer:A geometric mean is a type of average that indicates the central tendency of a set of positive numbers by using the product of their values, rather than the sum (like the arithmetic mean).It is calculated by multiplying the numbers together and then taking the n-th root, where n is the number of values.Geometric Mean = [tex] \sqrt[n]{ {x}^{1}. {x}^{2} . {x}^{3}...xn }[/tex]For two numbers and :Geometric Mean = √a . bEXAMPLE: If the numbers are 4 and 16:Geometric Mean = √4 . 16 = √ 64 = 8Key points:•It’s useful when comparing things that have different ranges or when data grows multiplicatively (percentages, ratios, growth rates).•It’s always less than or equal to the arithmetic mean (unless all numbers are equal).
