2. Katherine recorded her spelling scores for 7 weeks: $$ 15,20,15,18,17,19,15 $$. Range: $$ \qquad $$ Median: $$ \qquad $$ Mode: $$ \qquad $$

Question

UpStudy AI · Accepted Answer

Let's analyze Katherine's spelling scores to determine the **Range**, **Median**, and **Mode**.

**Recorded Scores (7 weeks):**  
15, 20, 15, 18, 17, 19, 15

---

### 1. **Range**

**Definition:** The range is the difference between the highest and lowest values in a data set.

**Calculation:**
- **Maximum score:** 20
- **Minimum score:** 15

$$
\text{Range} = \text{Maximum score} - \text{Minimum score} = 20 - 15 = 5
$$

**Range:** **5**

---

### 2. **Median**

**Definition:** The median is the middle value of a data set when it's ordered from least to greatest.

**Steps to Find the Median:**
1. **Order the scores:**  
   15, 15, 15, 17, 18, 19, 20

2. **Identify the middle value:**  
   Since there are 7 scores (an odd number), the median is the 4th score.

$$
\text{Median} = 17
$$

**Median:** **17**

---

### 3. **Mode**

**Definition:** The mode is the value that appears most frequently in a data set.

**Analysis:**
- **15** appears **3 times**
- **20, 18, 17, 19** each appear **once**

**Mode:** **15**

---

### **Summary**

- **Range:** 5
- **Median:** 17
- **Mode:** 15
**Range:** 5 **Median:** 17 **Mode:** 15

Katherine recorded her spelling scores for 7 weeks: .

Range:
Median:
Mode: