In a series of observations, which of the following is not true in the calculation of the standard deviation? A. If each value in the series of observations is increased by 10, the standard deviation will also increase by 10. B. If each observation is multiplied by 2, the standard deviation will be doubled. C. The sum of the squares of the deviations of items of any series from a value other than the arithmetic mean would always be greater. D. The standard deviation is independent of any change of origin, but dependent on the change of scale.
In a series of observations, which of the following is not true in the calculation of the standard deviation? A. If each value in the series of observations is increased by 10, the standard deviation will also increase by 10. B. If each observation is multiplied by 2, the standard deviation will be doubled. C. The sum of the squares of the deviations of items of any series from a value other than the arithmetic mean would always be greater. D. The standard deviation is independent of any change of origin, but dependent on the change of scale.
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section: Chapter Questions
Problem 8PT
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In a series of observations, which of the following is not true in the calculation of the standard deviation?
A. If each value in the series of observations is increased by 10, the standard deviation will also increase by 10.
B. If each observation is multiplied by 2, the standard deviation will be doubled.
C. The sum of the squares of the deviations of items of any series from a value other than the arithmetic
D. The standard deviation is independent of any change of origin, but dependent on the change of scale.
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