The presence of a zero value in any dataset causes which of the following averages to vanish_________?
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Answer: D. None of these
Explanation
A zero data value contributes a value of zero to the numerator sum without destroying the arithmetic mean. Arithmetic means divide the sum of values by the count, which remains fully computable when zeros are present. Unlike geometric and harmonic means, the arithmetic mean does not rely on reciprocals or multiplicative products. The arithmetic mean is the most common measure of central tendency used in everyday statistical analysis. Zero is a valid numerical placeholder on continuous measurement scales like temperature and financial balances. Averages summarize datasets, and individual zero entries are simply treated like any other numerical observation.
Option A lists A.M., which is incorrect because the arithmetic mean does not vanish when zeros are present. Option B lists G.M., which actually does vanish or become undefined when zeros are present in the dataset. Option C lists H.M., which also fails and becomes undefined when any dataset value equals zero.
- Subject
- Mathematics
- Category
- Statistics
- Topic
- —
- Difficulty
- medium
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