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.

Question

Demarion Arias

Mathematics

14 December, 15:40

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.

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Tyrell Lutz · Answer 1

The level of measure measurement = Nominal

To calculate the average is wrong with the given calculation.

Step-by-step 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.