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Which of the following cannot be less than zero (negative)?
- a)Median
- b)Geometric Mean
- c)Arithmetic Mean
- d)Harmonic Mean
Correct answer is option 'B'. Can you explain this answer?
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Which of the following cannot be less than zero (negative)?a)Medianb)G...
The geometric mean is a measure of central tendency that is commonly used for a set of positive numbers. It is calculated by taking the nth root of the product of n positive values.
Since the geometric mean involves taking the root of positive values, it cannot be negative. This is because taking the root of a negative number or zero is not defined in standard mathematical operations.
On the other hand, the median, arithmetic mean, and harmonic mean can be negative under certain circumstances. For example, if a dataset contains negative values, the median and arithmetic mean can be negative if the negative values outweigh the positive values.
Therefore, among the options given, the measure that cannot be less than zero (negative) is the geometric mean. It is specifically designed for positive values and does not yield negative results.
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Which of the following cannot be less than zero (negative)?a)Medianb)Geometric Meanc)Arithmetic Meand)Harmonic MeanCorrect answer is option 'B'. Can you explain this answer?
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