The depths (in inches) at which 10 artifacts are found are listed. Complete parts (a) and (b) below. 36.827 .826 .729 .546 .222 .927 .127 .922 .828 .5 (a) Find the range of the data set. Range \( =36.7 \) (Round to the nearest tenth as needed.)

To find the range of the data set, you need to identify the smallest and largest values in the set and then subtract the smallest value from the largest value. Here's how you can do it step by step: 1. **Identify the smallest value**: Look at all the numbers in the data set and find the one that is the smallest. The data set is: 36.827, 0.826, 0.729, 0.546, 0.222, 0.927, 0.127, 0.922, 0.828, 0.5 The smallest value is 0.222. 2. **Identify the largest value**: Look at all the numbers in the data set and find the one that is the largest. The largest value is 36.827. 3. **Calculate the range**: Subtract the smallest value from the largest value. Range = Largest value - Smallest value Range = 36.827 - 0.222 4. **Perform the subtraction**: Range = 36.605 5. **Round to the nearest tenth**: Since the question asks you to round to the nearest tenth, you'll round the result to one decimal place. Range ≈ 36.6 So, the range of the data set is approximately 36.6 inches.