1. The problem asks to find the mean time of the HotLight bulb from the given data. 2. The mean (average) is calculated by summing all the values and dividing by the number of values. 3. The HotLight times are: 1190, 991, 1050, 1298, 1175, 935, 1016, 1282, 937, 1372, 1070, 938. 4. Sum these values: $$1190 + 991 + 1050 + 1298 + 1175 + 935 + 1016 + 1282 + 937 + 1372 + 1070 + 938 = 13654$$ 5. Count the number of values: there are 12. 6. Calculate the mean: $$\text{mean} = \frac{13654}{12}$$ 7. Simplify the fraction: $$\frac{\cancel{13654}}{\cancel{12}} = 1137.83$$ (rounded to two decimal places) 8. Therefore, the mean time of HotLight is approximately $1137.83$ hours.