If each number in a set of data is multiplied by a constant, answer the following. a. How is the new mean related to the original mean? A. The constant is added to the mean. B. The mean is divided by that constant. C. The mean is multiplied by that constant.

When each number in a dataset is multiplied by a constant \( k \), the mean of the dataset is also affected by that constant. Here's how: 1. **Original Mean (\( \mu \))**: \[ \mu = \frac{x_1 + x_2 + \dots + x_n}{n} \] 2. **New Dataset After Multiplication by \( k \)**: \[ kx_1, \, kx_2, \, \dots, \, kx_n \] 3. **New Mean (\( \mu' \))**: \[ \mu' = \frac{kx_1 + kx_2 + \dots + kx_n}{n} = k \left( \frac{x_1 + x_2 + \dots + x_n}{n} \right) = k\mu \] This shows that the new mean is directly multiplied by the constant \( k \). **Answer:** C. The mean is multiplied by that constant.