The range of the data 15, 20, 6, 5, 30, 35, 92, 35, 90, 18, 82 is

Options

A. 87
B. 15
C. 18
D. 26

Answer

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

### Step-by-Step Solution:

1. **Identify the Data Set**: The data provided is:
\[ 15, 20, 6, 5, 30, 35, 92, 35, 90, 18, 82 \]

2. **Find the Maximum Value**: The maximum value in the data set is the largest number.
- Looking through the data, the largest number is **92**.

3. **Find the Minimum Value**: The minimum value in the data set is the smallest number.
- Scanning the data, the smallest number is **5**.

4. **Calculate the Range**: The range is calculated by subtracting the minimum value from the maximum value using the formula:
\[ \text{Range} = \text{Maximum Value} - \text{Minimum Value} \]
- Substituting the values we found:
\[ \text{Range} = 92 - 5 \]
- Performing the subtraction:
\[ \text{Range} = 87 \]

5. **Conclusion**: The range of the data set is **87**.

### Final Answer:
The range of the data is **87**.