SOLUTION: Hi Can you please help me with this problem. a book inventory record contains the following information: a) Title: more mysteries b)Author: Roger Mortimer c) date of publ

Algebra ->  Probability-and-statistics -> SOLUTION: Hi Can you please help me with this problem. a book inventory record contains the following information: a) Title: more mysteries b)Author: Roger Mortimer c) date of publ      Log On


   



Question 152890: Hi Can you please help me with this problem.
a book inventory record contains the following information:
a) Title: more mysteries
b)Author: Roger Mortimer
c) date of publication 1998
d) list price $25.00
e) number in stock: 6
for the information (a) to (e) list the hightest level of measurement as raio, interval, ordinal, or nominal.
can you pleae help me.
thank JIll

Answer by mducky2(62) About Me  (Show Source):
You can put this solution on YOUR website!
First, let's start by defining these four variables. They are all types of statistical groupings.
Nominal: Nominal measurements are separate, but equal in value relative to each other. For example, names of people or titles of books do not automatically imply any sort of ranking or ordering, where one title is obviously superior to another.
Ordinal: Ordinal measurements are ordered rankings, where the order matters but the difference between them isn't equal. For example, a 5-star hotel is obviously better than a 4-star hotel, but the difference between a 5-star and a 4-star is not the same as the difference between a 3-star and a 2-star hotel, since you can't count the amount of quality.
Interval: Interval categories are when the order and the difference betwen each measurement matter. For example, the difference between 90 degrees F and 80 degrees F is the same as the difference between 80 degrees F and 70 degrees F.
Ratio: Ratio categories are when the order and difference between measurements matter, plus the fact that the value of 0 means there is nothing of whatever is measured. For example, the measure of money: $5.00 means you have money while $0.00 means you have none. This is different than degrees F because at 0 degrees F there is still some heat.

Now to solve the problem:

a) Title: more mysteries
Because there is no obvious order or ranking to titles, this should be a nominal measurement. It could be argued that the books themselves could be less or more popular, but that doesn't mean that the title itself is obviously ranked higher than other titles.

b)Author: Roger Mortimer
Again, there is no obvious order or ranking to names, so this is also a nominal measurement.

c) date of publication 1998
We can rule out nominal measurement, since years are quantitative. We can also rule out ordinal measurement, since the difference between years is equal. Lastly, we can rule out ratio measurement, since we know that the year 0 didn't mean that there was no time, but was just a point in time that we had labeled as year 0. Therefore, this has to be an interval measurement.

d) list price $25.00
Immediately, we can see that this would be a ratio measurement because having a price of $0.00 would mean that the book is free.

e) number in stock: 6
We can figure out that this must be either interval or ratio measurement just because its a quantity, not a quality. Because having 0 books in stock would mean that there are no books, this must also be a ratio measurement