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

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UpStudy AI · Accepted Answer

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.** $$ 3 $$
- **Mean:** 5.7 - **Median:** 6.5 - **Mode:** 3

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