The Effect of Linear Transformations on Measures of Center & Spread


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question 1 of 3

When a variable is multiplied by a constant and then added to a constant, this is known as what?

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1. The mean of an original data set is 5. After linear transformation, the mean of the data set is now 20. Which of the following equations is a possible representation of the linear transformation?

2. The equation for linear transformation is:

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About This Quiz & Worksheet

The quiz will test you on key topics related to the concept of linear transformations and their effects. Topics to pay attention to include what occurs when a variable is multiplied by a constant and then added to another constant.

Quiz & Worksheet Goals

You will be tested on the following:

  • Writing equations for linear transformations
  • Knowing the equation for linear transformations
  • What variables represent in the equation

Skills Practiced

These are some skills you will practice with these assessments:

  • Making connections - use understanding of the concept of linear transformations
  • Interpreting information - verify that you can read information regarding linear transformations and interpret it correctly
  • Information recall - access the knowledge you've gained regarding variables in linear transformations
  • Problem solving- use acquired knowledge to solve practice problems on linear transformations

Additional Learning

Make sure to also read the partner lesson titled The Effects of Linear Transformations on Measures of Center & Spread: Lesson & Quiz. Some topics the lesson will cover include:

  • Understanding the transformation of data
  • Exploring examples of linear transformations
  • Explaining the linear transformation formula