The number of credits being taken by a sample of 13 full-time college students are listed below. Find the mean, median, and mode of the data, if possible. If any measure cannot be found or does not represent the center of the data, explain why. \( \begin{array}{lllllllll}4 & 6 & 7 & 4 & 3 & 3 & 5 & 3 & 3\end{array} 3^{2} \) Find the mean. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The mean is (Type an integer or decimal rounded to one decimal place as needed.) B. The data set does not have a mean. Does the mean represent the center of the data? A. The mean represents the center. B. The mean does not represent the center because it is the largest data value. C. The mean does not represent the center because it is the smallest data value.

To find the **mean**, **median**, and **mode** of the given data set, let's first clarify the data provided. ### Data Interpretation The data is presented as: \[ \begin{array}{lllllllll}4 & 6 & 7 & 4 & 3 & 3 & 5 & 3 & 3\end{array} 3^{2} \] Interpreting \( 3^{2} \) as two additional occurrences of the number 3, the complete data set consists of **11** values: \[ 4, \, 6, \, 7, \, 4, \, 3, \, 3, \, 5, \, 3, \, 3, \, 3, \, 3 \] ### Calculating the Mean The **mean** is the average of the data set. \[ \text{Mean} = \frac{\sum \text{all data points}}{\text{number of data points}} = \frac{4 + 6 + 7 + 4 + 3 + 3 + 5 + 3 + 3 + 3 + 3}{11} \] \[ \text{Mean} = \frac{44}{11} = 4 \] **Answer Choice:** - **A. The mean is 4.** ### Does the Mean Represent the Center of the Data? The **mean** is a measure of central tendency that sums all values and divides by the number of values. In this data set, the mean is **4**, which falls within the range of the data and provides a central value. **Answer Choice:** - **A. The mean represents the center.** ### Summary - **Mean:** 4 - **Representation of the Center:** Yes, the mean represents the center of the data. **Final Answer:** **A. The mean is 4.** **A. The mean represents the center.**