Question

identify the level of measurement of the data, and explain what is wrong with the given calculation. in a set of data, movie ratings are represented as 1 for 1 star, 2 for 2 stars, and 3 for 3 stars. the average (mean) of the 666 movie ratings is 1.3. the data are at the ratio, ordinal, interval, nominal level of measurement. what is wrong with the calculation? a. the true ave... b. such data st... c. one must us... d. there is not... r calculations such as an average (mean). d to compute the average (mean) of such data. given calculation.

Explanation:

Movie ratings (1, 2, 3 stars) are ordinal data—they represent order (ranking) but the differences between values (e.g., 1 to 2 vs 2 to 3) aren't necessarily equal or meaningful in a way that supports calculating a mean. A mean implies interval/ratio properties (equal intervals, meaningful zero), which ordinal data lacks. So using the mean (average) is incorrect for ordinal data. The level of measurement is ordinal.

Answer:

The level of measurement of the movie ratings data is ordinal. What is wrong with the calculation: Such data (ordinal) should not use calculations such as an average (mean) because ordinal data only represents ranking/order, and the differences between the values (ratings) are not necessarily equal or meaningful in a way that justifies computing a mean (which requires interval/ratio - level properties like equal intervals and a meaningful zero point).