Identify the scale of measurement in each of the following cases.
a. Geologists have a “hardness scale” for identifying different rocks, called Mohs’ scale. The hardest rock (diamond) has a value of 10 and will scratch all others. The second hardest will scratch all but the diamond, and so on. Talc, with a value of 1, can be scratched by every other rock. (A fingernail, a truly handy field-test instrument, has a value between 2 and 3.)
b. The volumes of three different cubes are 40, 64, and 65 cubic inches.
c. Three different highways are identified by their numbers: 40, 64, and 65.
d. Republicans, Democrats, Independents, and Others are identified on the voters’ list with the numbers 1, 2, 3, and 4, respectively.
e. The winner of the Miss America contest was Miss California; the three runners-up were Miss Ohio, Miss Illinois, and Miss Pennsylvania.11
f. The prices of the three items are $3.00, $10.00, and $12.00.
g. She earned three degrees: B.A., M.S., and Ph.D.