B. is not true. It changes the shape of the distribution.
Adding a constant, b, to each value in a data set does not change the shape of the distribution. Instead, it shifts the entire distribution horizontally by the constant value b. The shape of the distribution remains the same.
Explanation:
A. It is added to measures of center and location: This is true. When you add a constant to each value in the data set, the measures of center and location, such as mean, median, and mode, will also increase by the same constant.
C. It does not change the range, IQR, or standard deviation: This is true. Adding a constant to each value in the data set does not affect the range, IQR, or standard deviation, as these measures are based on the differences between the data points, which remain the same after adding a constant.
