"Determine whether the statement is true or false. If it is fa...

Question

"Determine whether the statement is true or false. If it is false, rewrite it as a true statement.

For data at the interval level, you cannot calculate meaningful differences between data entries."

Accepted Answer

Hi everyone, glad to have you back. Our next problem says select the true statement about the ordinal level of measurement. A data at the ordinal level can be ranked, but differences between data entries are not meaningful. data at the ordinal level can be added and subtracted meaningfully. See data at the ordinal level have a true zero point. Or the data at the ordinal level allow for meaningful ratios. So let's recall what's going on in the ordinal level. At the ordinal level, the Values. Are labels, should say values equal labels. They are not numerical. In the ordinal level, you can rank the values, so they can be ranked. So the easiest way to remember this is that an example of the ordinal level would be, so we'll put EG things like 1st, 2nd, 3rd place. So, we can see what order they come in, in terms of their relationship to each other, but we don't know anything meaningful about the differences between them. How far ahead is first place from 2nd place. That could be different from how far ahead 2 is from 3rd place. So, there's no consistent scale, so no. Consistent scale. So you have these labels of categories, but we can say something about their values and that we can rank them. So, our answer is going to be choice A. Data can be ranked, but the differences are not meaningful. Looking at our other answer choices, data at the ordinal level can be added and subtracted, but it cannot because it is not numerical. So for it to be added and subtracted, we need it at least at the interval level. Things like a temperature scale, you can add and subtract temperatures. So, do I see data at the ordinal level of a true zero point? This is incorrect. A true zero point means that a 0 represents the absence of the quality being measured. So, we mentioned a temperature scale as an interval scale, but it doesn't have a zero point because 0 degrees does not mean an absence of heat. And that is the same with the ordinal level, because we don't have a zero with place. Everything's, you know, coming in a certain order. And then choice D data at the ordinal level allow for meaningful ratios. This is incorrect as well. This would be data at least at the ratio level, which is determined by having an absolute zero, allowing meaningful ratios to be determined between the different values. So what's more, we look at, looking for the true statement about the ordinal level of measurement. And this is choice A, Data at the ordinal level can be ranked, but differences between data entries are not meaningful. See you in the next video.

"Determine whether the statement is true or false. If it is false, rewrite it as a true statement.
For data at the interval level, you cannot calculate meaningful differences between data entries."

Key Concepts

Interval Level of Measurement

Meaningful Differences

True/False Statements in Statistics

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