"Interpreting the Variable Suppose a fundraiser holds a raffle...

Question

"Interpreting the Variable Suppose a fundraiser holds a raffle for which each person who enters the room receives a ticket numbered 1 to N, where N is the number of people at the fundraiser. The first person to arrive receives ticket number 1, the second person receives ticket number 2, and so on. Determine the level of measurement for each of the following interpretations of the variable ticket number.

The winning ticket number."

The winning ticket number."

Accepted Answer

Welcome back everyone. In this problem, we want to identify the level of measurement for the variable C number of a passenger on a flight. A says it's nominal, B ordinal, C interval, and D says it's a ratio. Now what do we know about seat numbers of passengers on a flight? Well, we know that the seat number represents a categorical variable that's sole purpose is to identify seats. So when we get our ticket, you know, sometimes you may get your ticket before a flight and on the flight you will see a number like 29F. So you're at seat 29F. Yes, it has numbers in there and maybe letters too depending on how big the plane is, but there is no inherent order or ranking among seat numbers, and they are used solely for identification purposes, OK? So the seat number is going to be measured or the seat number would be measured at the nominal level. Therefore, A is the correct answer. We can be sure we're right by reviewing the remaining choices. Now, for B, ordinal data involves ordered categories, but C numbers do not have a meaningful order. For example, seat number 1 is not better or higher than C 29. Uh, in interval data and answer choice C, it has meaningful differences between values but no true zero, which doesn't apply to seat numbers. And in answer choice D, ratio data has a true zero, but seat numbers don't again represent a measurable quantity with a true zero. That's what we're sure A is the correct answer. Thanks a lot for watching everyone. I hope this video helped.

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