Which of the following is not true for the geometric mean?
2021
Which of the following is not true for the geometric mean?
- A.
It is based on all the observations of the set
- B.
It is not suitable for further algebraic treatment
- C.
It cannot be calculated if any of the value in the set is zero
- D.
It is least affected by extreme values
Attempted by 24 students.
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Correct answer: B
The geometric mean is mathematically defined as the nth root of the product of n numbers, making it highly suitable for algebraic manipulation and logarithmic treatment. Therefore, the claim that it is not suitable for further algebraic treatment is factually incorrect. Since the question asks which statement is not true, this option represents the exception among true properties of the geometric mean.