Mathematics
Grade9
Easy
Question
Find the geometric mean of 9 and 25.
- 15
- 3
- 225
- 81
Hint:
The Geometric Mean (GM) is the average value or mean which signifies the central tendency of the set of numbers by finding the product of their values.
Basically, we multiply the numbers altogether and take the nth root of the multiplied numbers, where n is the total number of data values. For example: for a given set of two numbers such as 3 and 1, the geometric mean is equal to √(3×1) = √3 = 1.732.
The correct answer is: 15
The Geometric Mean (GM) is the average value or mean which signifies the central tendency of the set of numbers by finding the product of their values.
The Geometric Mean (G.M) of a series containing n observations is the nth root of the product of the values.
Consider, if x1, x2 …. Xn are the observation, then the G.M is defined as:
Geometric mean of 9 and 25 = 
= 
= 15
Thus, geometric mean of 9 and 25 is 15.
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