4. Statistics and Probability

Linear Transformations Of Data — Quiz

Test your understanding of linear transformations of data with 5 practice questions.

Practice Questions

Question 1

A data set has mean $10$. Each value is transformed using $y=x+3$. What is the mean of the transformed data?

Question 2

A data set has standard deviation $4$. Each value is transformed using $y=2x$. What is the standard deviation of the transformed data?

Question 3

A data set has mean $15$ and standard deviation $6$. The transformation is $y=x-5$. Which statement is correct?

Question 4

A set of scores has minimum $4$ and maximum $12$. The data are transformed using $y=3x$. What are the new minimum and maximum?

Question 5

A data set has median $8$. Every value is transformed using $y=x+2$. What is the new median?