Given below is a data set of temperatures (in `"^@C`):
-6, -8, -2, 3, 2, 0, 5, 4, 8
What is the range of the data?

Options

A. `0^@C`
B. `16^@C`
C. `18^@C`
D. `10^@C`

Answer

To find the range of the given data set of temperatures, we will follow these steps:

### Step 1: Identify the Data Set
The data set provided is:
-6, -8, -2, 3, 2, 0, 5, 4, 8

### Step 2: Arrange the Data in Ascending Order
To find the range, we first need to arrange the temperatures in ascending order:
-8, -6, -2, 0, 2, 3, 4, 5, 8

### Step 3: Identify the Maximum and Minimum Values
From the arranged data, we can identify:
- The maximum value (highest temperature) is **8**.
- The minimum value (lowest temperature) is **-8**.

### Step 4: Apply the Range Formula
The formula for calculating the range is:
\[ \text{Range} = \text{Maximum Value} - \text{Minimum Value} \]

Substituting the values we found:
\[ \text{Range} = 8 - (-8) \]

### Step 5: Simplify the Expression
When subtracting a negative number, it is equivalent to adding the positive:
\[ \text{Range} = 8 + 8 = 16 \]

### Step 6: State the Final Answer
Therefore, the range of the data set is **16°C**.

---