identify the level of measurement of the data...

identify the level of measurement of the data and explain what is wrong with the given calculation. in a survey, the hair colors of respondents are identified as 10 for brown hair, 20 for blond hair, 30 for black hair, and 40 for anything else. the average (mean) is calculated for 557 respondents and the result is 22.3. the data are at the drop - down level of measurement. what is wrong with the given calculation? a. such data are not measures of anything, so the average (mean) needs to be computed in a different way. b. the true average (mean) is different. c. such data are not measures of anything, so it makes no sense to compute their average (mean). d. there is nothing wrong with the given calculation.

Answer

# Brief Explanations: Hair color is a qualitative variable. The assigned numbers (10, 20, 30, 40) are just labels and do not have any numerical meaning in terms of magnitude or order for arithmetic operations. Nominal - level data consists of categories without any natural order or numerical value for calculations. Calculating the mean for nominal - level data like hair color labels is inappropriate as the numbers are just names for categories and not actual numerical measurements. # Answer: The data are at the nominal level of measurement. C. Such data are nominal and are not measures of anything, so it makes no sense to compute their average (mean).