Range Dogs E7Cae0

1. **State the problem:** We are given the weights of 6 dogs and one unknown weight. The weights are $66$, $8$, $12$, $74$, $35$, $66$, and one unknown value represented by $?$. We need to find the range of the data set. 2. **Recall the formula for range:** The range of a data set is the difference between the maximum and minimum values. $$\text{Range} = \text{Maximum value} - \text{Minimum value}$$ 3. **Identify the known values:** From the given weights, the minimum known weight is $8$ and the maximum known weight is $74$. 4. **Consider the unknown value $?$:** Since $?$ is unknown, the range depends on its value. - If $?$ is less than $8$, then the minimum value becomes $?$. - If $?$ is greater than $74$, then the maximum value becomes $?$. - Otherwise, the minimum and maximum remain $8$ and $74$ respectively. 5. **Calculate the range in each case:** - If $?$ is less than $8$, then $$\text{Range} = 74 - ?$$ - If $?$ is greater than $74$, then $$\text{Range} = ? - 8$$ - If $?$ is between $8$ and $74$, then $$\text{Range} = 74 - 8 = 66$$ 6. **Conclusion:** Without knowing the exact value of $?$ we cannot determine a single numeric range. The range depends on the value of $?$ as explained above.