1. **State the problem:** We have a data set with values: 154, 151, 173, 208, 147, 175, 175, 163, 56, 156. The value 208 is identified as a stray (outlier). We want to find: - Which value is relatively far from the others (already given as 208). - How removing 208 affects the range. - How removing 208 affects the mean. 2. **Recall formulas:** - Range = maximum value - minimum value - Mean = sum of all values / number of values 3. **Calculate original range:** - Maximum value = 208 - Minimum value = 56 - Range = 208 - 56 = 152 4. **Calculate original mean:** - Sum of all values = 154 + 151 + 173 + 208 + 147 + 175 + 175 + 163 + 56 + 156 = 1558 - Number of values = 10 - Mean = \frac{1558}{10} = 155.8 5. **Remove the stray value 208 and recalculate range:** - New maximum value = 175 (since 208 is removed) - Minimum value remains 56 - New range = 175 - 56 = 119 6. **Remove 208 and recalculate mean:** - New sum = 1558 - 208 = 1350 - New number of values = 9 - New mean = \frac{1350}{9} = 150 7. **Interpretation:** - The range decreases from 152 to 119. - The mean decreases from 155.8 to 150. **Final answers:** - The stray value is 208. - Removing 208 decreases the range from 152 to 119. - Removing 208 decreases the mean from 155.8 to 150.