Question

Identify the level of measurement of the​ data, and explain what is wrong with the given calculation. In a​ survey, the favorite sportsfavorite sports of respondents are identified as 1010 for basketball commabasketball, 2020 for baseball commabaseball, 3030 for football commafootball, and 4040 for anything else. The average​ (mean) is calculated for 746746 respondents and the result is 22.3 .

Answer 1

The level of measure measurement = Nominal

To calculate the average is wrong with the given calculation.

Explanation:

There are four level of measurement for a data :

A) Nominal B) Ordinal C) Interval D) Ratio

In Nominal level , data is arranged in numerous categories.

Since, the favorite sports of respondents are identified as different categoirs such as 10 for basketball, 20 for baseball , 30 for football , and 40 for anything else.

Also, The average​ (mean) is calculated for 746 respondents and the result is 22.3 .

The best measure for the central tendency in Nominal level is MODE not mean.

So , to calculate the average is wrong with the given calculation.