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. `16""^(@)C`
B. `18""^(@)C`
C. `10""^(@)C`
D. `0""^(@)C`

Answer

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

### Step 1: Identify the maximum and minimum values in the data set.
The data set provided is:
`-6, -8, -2, 3, 2, 0, 5, 4, 8`.

- The maximum value is `8`.
- The minimum value is `-8`.

### Step 2: Apply the formula for range.
The formula for calculating the range is:
\[ \text{Range} = \text{Maximum Value} - \text{Minimum Value} \]

### Step 3: Substitute the values into the formula.
Now, substituting the maximum and minimum values we found:
\[ \text{Range} = 8 - (-8) \]

### Step 4: Simplify the expression.
When you subtract a negative number, it is equivalent to adding the positive value:
\[ \text{Range} = 8 + 8 = 16 \]

### Step 5: State the final answer.
Thus, the range of the data set is:
\[ \text{Range} = 16 \, ^\circ C \]

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