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7. Transformations. In some data sets, a transformation by some mathematical function applied to the original data, such as √√y or log y, can result in data that are simpler to work with statistically than the original data. To illustrate the effect of a transformation, consider the following data, which represent cycles to failure for a yarn product: 1150 2000 100 3650 175 290 375 675 Transform the data in 2 significant figures by taking the common logarithms of the eight values (example: log 675 = 2.8). Calculate the standard deviation of these transformed data. Express your answer in 2 significant digits.

7. Transformations. In some data sets, a transformation by some mathematical function applied to the original data, such as √√y or log y, can result in data that are simpler to work with statistically than the original data. To illustrate the effect of a transformation, consider the following data, which represent cycles to failure for a yarn product: 1150 2000 100 3650 175 290 375 675 Transform the data in 2 significant figures by taking the common logarithms of the eight values (example: log 675 = 2.8). Calculate the standard deviation of these transformed data. Express your answer in 2 significant digits.

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.6: Exponential And Logarithmic Equations
Problem 70E
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7. Transformations. In some data sets, a transformation by some mathematical function applied to the original data, such as √y or logy, can result in data that are simpler to work with statistically than the original data. To illustrate the effect of a transformation, consider the following data, which represent cycles to failure for a yarn product: 675 3650 175 1150 290 2000 100 375 Transform the data in 2 significant figures by taking the common logarithms of the eight values (example: log 675 = 2.8). Calculate the standard deviation of these transformed data. Express your answer in 2 significant digits.
Transcribed Image Text:7. Transformations. In some data sets, a transformation by some mathematical function applied to the original data, such as √y or logy, can result in data that are simpler to work with statistically than the original data. To illustrate the effect of a transformation, consider the following data, which represent cycles to failure for a yarn product: 675 3650 175 1150 290 2000 100 375 Transform the data in 2 significant figures by taking the common logarithms of the eight values (example: log 675 = 2.8). Calculate the standard deviation of these transformed data. Express your answer in 2 significant digits.
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