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 .

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

the formula of a slope:

from a table we have

substitute:

the slope of f(x) is -1.

the graph of funcfion g(x) is a horizontal line. the slope of a horizontal line is equal 0. therefore the slope of g(x) is 0.

-1 < 0