Every observation in a scientific data set is first increased by a constant value of 50 units, and then every resulting value is multiplied by 0.25. Compared to the standard deviation of the original data set, how does the standard deviation of the final data set change?

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Mathematics · Statistics

Verified Solution4 OptionsUpdated: October 2026👁️1 View

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It becomes one-fourth of the original standard deviation

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Answer 1

It remains unchanged

Answer 2

It becomes one-sixteenth of the original standard deviation

Answer 3

It becomes one-fourth of the original standard deviation

Answer 4

It increases by 50 units

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