Identify the level of measurement of the data, and explain what is wrong with the given calculation. In a survey, the hair colors of respondents are identified as 100 for brown hair comma 200 for blond hair comma 300 for black hair comma and 400 for anything else. The average (mean) is calculated for 604 respondents and the result is 256.1.

Question

Mathematics

Jakobe Leonard

29 January, 10:37

Identify the level of measurement of the data, and explain what is wrong with the given calculation. In a survey, the hair colors of respondents are identified as 100 for brown hair comma 200 for blond hair comma 300 for black hair comma and 400 for anything else. The average (mean) is calculated for 604 respondents and the result is 256.1.

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Answers (1)

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Rubi Benson · Answer 1

This type of data are not measurement of anything, so it is not feasible to calculate their average (Mean)

Step-by-step explanation:T

The data are at the level of measurement that are Nominal

In level of nominal measurement, letters, numeric and alpha-numeric, words, symbols are used to classify data in the example stated.

Now we recall that,

Brown hair = 100,

Blond hair = 200,

Black hair = 300

Anything else = 400

Thus, 100, 200, 300, 400 are used as code numbers for hair colors and does not have any importance to their values numerically.

There is no arithmetic solutions such as average, total which cannot be solved using these numbers.

Therefore the average mean calculated is not feasible