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Questions on the calculation of mean

Listed below are results from the National Health and Nutrition Examination.

1 3 3 2 1 1 1 7 9 1 1 1 4 4

These results indicate the working status of the person being surveyed, and the listed values represent these responses: 1 = Working; 2 = With a job but not at work; 3 = Looking for work; 4 = Not working; 7 = Refused to answer; 9 = Don’t know. Does it make sense to calculate the mean of these numbers? Why or why not?