Question

Identify the level of measurement of the​ data, and explain what is wrong with the given calculation. In a​ survey, the favorite sports of respondents are identified as 1 for basketball, 2 for baseball, 3 for football, and 4 for anything else. The average​ (mean) is calculated for 517 respondents and the result is 1.5.

Answer 1

(a) Nominal data

(b) Calculating the mean is wrong

Explanation:

Given

`1 \to` Basketball

`2 \to` Baseball

`3 \to` Football

`4 \to` Others

Solving (a): The level of measurement

In the given parameters, digit 1 to 4 are used to label each of the given sport.

When such labels are used, the type of data is nominal.

Solving (b): The error

In (a), we identified that the level of measurement is nominal. This implies that, the data are not counted, but instead they are categorized.

And as such, the mean of the data cannot be calculated.