Mathematics · Statistics
Which of the following statements is true regarding the relationship between the arithmetic mean and standard deviation?
Verified Solution4 OptionsUpdated: October 2026👁️1 View
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- 1Smaller the standard deviation, smaller will be the arithmetic mean
- 2The arithmetic mean is a proper representative of the group irrespective of the standard deviation
- 3The arithmetic mean is a better representative of the group if the standard deviation is larger
- 4The arithmetic mean is a better representative of the group if the standard deviation is smaller✓
Correct answer
The arithmetic mean is a better representative of the group if the standard deviation is smaller
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