Question

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 .

Answer 1

The level of measurement of the date is: nominal level of measurement.

Such data are not counts or measures of​ anything, so it makes no sense to compute their average​ (mean)

Explanation:

The given data are at the nominal level of measurement. Nominal data is not measurable and cannot be ordered as well. It is qualitative in nature and not quantitative. For example this nominal data type can be measured of categorized as yes or no, high or low, mild, moderate or severe, male or female etc. So there is no point of calculating average of such qualitative data and nominal level of measurement deals with qualitative variables.

Answer 2

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

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