identify the level of measurement of the data, and explain what is wrong with the given calculation.\nin a…

identify the level of measurement of the data, and explain what is wrong with the given calculation.\nin a survey, the favorite foods of respondents are identified as 1 for italian food, 2 for mexican food, 3 for chinese food, and 4 for anything else. the average (mean) is calculated for 590 respondents and the result is 1.5.\nthe data are at the level of measurement.

identify the level of measurement of the data, and explain what is wrong with the given calculation.\nin a survey, the favorite foods of respondents are identified as 1 for italian food, 2 for mexican food, 3 for chinese food, and 4 for anything else. the average (mean) is calculated for 590 respondents and the result is 1.5.\nthe data are at the level of measurement.

Answer

Brief Explanations:

The data represents favorite foods which are categories. The numbers assigned (1 - 4) are just labels for categories, not numerical values for calculation. The level of measurement for categorical data like this is nominal. Calculating a mean for nominal - level data is inappropriate as the numbers have no numerical significance in terms of quantity or order for these categories.

Answer:

Nominal; Calculating the mean for nominal - level data (where numbers are just category labels) is wrong as the numbers do not have numerical meaning for arithmetic operations.