Find the mean, median, and mode of the set of numbers. \( 9,3,3,8,7,6,2,9,3,7 \) a What is the mean? \( \square \) (Type an integer or a decimal.) What is the median? \( \square \) (Type an integer or a decimal.) What is the mode? Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. \( \square \) B. There is no mode for the set of data

Let's analyze the given set of numbers to find the **mean**, **median**, and **mode**. **Given Set:** \( 9, 3, 3, 8, 7, 6, 2, 9, 3, 7 \) --- ### 1. Mean **Calculation:** \[ \text{Mean} = \frac{\sum \text{All Numbers}}{\text{Total Count}} \] \[ \sum \text{All Numbers} = 9 + 3 + 3 + 8 + 7 + 6 + 2 + 9 + 3 + 7 = 57 \] \[ \text{Total Count} = 10 \] \[ \text{Mean} = \frac{57}{10} = 5.7 \] **Answer:** \( 5.7 \) --- ### 2. Median **Steps:** 1. **Arrange the numbers in ascending order:** \[ 2, 3, 3, 3, 6, 7, 7, 8, 9, 9 \] 2. **Determine the middle value(s):** - Since there are **10** numbers (even count), the median is the average of the **5th** and **6th** numbers. \[ \text{5th number} = 6 \] \[ \text{6th number} = 7 \] \[ \text{Median} = \frac{6 + 7}{2} = 6.5 \] **Answer:** \( 6.5 \) --- ### 3. Mode **Definition:** The mode is the number that appears most frequently in the set. **Frequency of Each Number:** - **2** appears **1** time - **3** appears **3** times - **6** appears **1** time - **7** appears **2** times - **8** appears **1** time - **9** appears **2** times **Analysis:** The number **3** appears **3** times, which is more frequent than any other number. **Answer Choice:** - **A.** \( 3 \) - **B.** There is no mode for the set of data **Selected Answer:** **A.** \( 3 \) --- ### Summary - **Mean:** \( 5.7 \) - **Median:** \( 6.5 \) - **Mode:** **A.** \( 3 \)