Identify the level of measurement of the​ data, and explain what is wrong with the given calculation. In a set of​ data, mood levels are represented as 0 for bad, 1 for OK, and 2 for good. The average​ (mean) of the 637 mood levels is 0.9.
The data are at the______ of measurement.
a. ordinal
b. nominal
c. interval
d. ratio

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Lanuel

Answer:

a. ordinal

Step-by-step explanation:

A level of measurement refers to a classification which is used to illustrate the attributes of the values assigned to variables. Basically, there are four (4) levels of measurement for a variable and these are;

1. Ratio: data can be arranged in an ordering scheme and subtracting its differences is meaningful with respect to the value of true zero. Examples are height, price, weight, distance etc.

2. Nominal: is characterized by data that are non-numerical, comprises of categories, labels or names and can't be arranged in an ordering scheme.

3. Interval: data can be arranged in an ordering scheme and subtracting its differences is meaningful. Examples are year, temperature, time etc.

4. Ordinal: data can be arranged in an ordering scheme but subtracting its differences is meaningless or impossible. Examples are happy, sad etc.

Therefore, the data are at the ordinal level of measurement because mood levels were represented as 0 for bad, 1 for OK, and 2 for good.

However, what is wrong with these given calculation; "average​ (mean) of the 637 mood levels is 0.9." is that the data presented in the question cannot be used to find an average (mean) because the various mood levels were not stated or given, which is a prerequisite for calculating the average (mean) of a population.