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If the range of a data is 26 and its highest value is 37, then its least value is _____.

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To solve the problem, we need to find the least value of a data set given the range and the highest value. ### Step-by-Step Solution: 1. **Understand the Formula for Range**: The range of a data set is calculated using the formula: \[ \text{Range} = \text{Highest Value} - \text{Lowest Value} \] 2. **Identify the Given Values**: From the question, we know: - Range = 26 - Highest Value = 37 3. **Set Up the Equation**: We can substitute the known values into the range formula: \[ 26 = 37 - \text{Lowest Value} \] 4. **Rearrange the Equation**: To find the Lowest Value, we can rearrange the equation: \[ \text{Lowest Value} = 37 - 26 \] 5. **Calculate the Lowest Value**: Now, perform the subtraction: \[ \text{Lowest Value} = 37 - 26 = 11 \] 6. **Final Answer**: Therefore, the least value is: \[ \text{Least Value} = 11 \] ### Summary: If the range of the data is 26 and the highest value is 37, then the least value is **11**.
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