n a certain data, highest value is (x + 4) and lowest value is (x - 4). Range of the data is_________

Answer

To find the range of the given data where the highest value is (x + 4) and the lowest value is (x - 4), we can follow these steps:

### Step-by-Step Solution:

1. **Identify the highest and lowest values:**
- Highest value = \( x + 4 \)
- Lowest value = \( x - 4 \)

2. **Use the formula for range:**
- The formula for range is given by:
\[ \text{Range} = \text{Highest value} - \text{Lowest value} \]

3. **Substitute the highest and lowest values into the formula:**
- Substitute the values into the range formula:
\[ \text{Range} = (x + 4) - (x - 4) \]

4. **Simplify the expression:**
- Distribute the negative sign:
\[ \text{Range} = (x + 4) - x + 4 \]
- Combine like terms:
\[ \text{Range} = x - x + 4 + 4 \]
\[ \text{Range} = 0 + 8 \]
\[ \text{Range} = 8 \]

5. **Final answer:**
- Therefore, the range of the data is \( 8 \).