Data Set A consists of the values 10, 11, 12, 13, 14. Data Set B is created by applying a transformation to each value in Data Set A: each value is multiplied by 2, and then 5 is added to the result.

Which of the following statements must be true?

I. The mean of Data Set B is equal to 2 times the mean of Data Set A plus 5.

II. The median of Data Set B is equal to 2 times the median of Data Set A plus 5.

III. The standard deviation of Data Set B is equal to 2 times the standard deviation of Data Set A plus 5.