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AP Statistics/Unit 1: Exploring One-Variable Data
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Effects of Linear Transformations on Summary Statistics
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All of the following statements regarding the effects of a $3000 increase and a 10% raise on employee salaries are true except: Salary Data and Adjustments: Original Salaries (in dollars): 3000, 7000, 15000, 22000, 23000, 38000. Scenario 1: Every employee receives a $3000 increase, which adds a constant value to each salary.
Scenario 2: Every employee receives a 10% raise, meaning each salary is multiplied by 1.10.

A

A 10% raise multiplies the mean salary by 1.10.

B

While adding the same constant does not change the differences between salaries, multiplying each salary by 1.10 scales both the mean and the spread by 10%.

C

Adding a $3000 constant to each salary results in the mean being multiplied by $3000.

D

Adding a constant to every salary increases the mean by exactly that constant.

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