Determine whether the statement is true or false. If it is fal...

Question

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

More types of calculations can be performed with data at the nominal level than with data at the interval level.

Accepted Answer

Below there today we're going to solve the following practice problem together. So first off, let us read the problem and highlight all the key pieces of information that we need to use in order to solve this problem. Read the statement carefully. Is it true or false? If it is false, fix it to make it right. The ratio level of measurement supports fewer mathematical operations than the ordinal level. Awesome. So it appears for this particular problem is we're asked to take our statement, which is the ratio level of measurement supports fewer mathematical operations than the ordinal level, and we're asked to state whether or not the statement is true or false, and if it's false, we're asked to correct it or fix it in order to make it a correct statement. So now that we know what we're ultimately trying to solve for, our first step is we need to recall and note what ordinal level data is. So as we should know from our textbook, the definition of ordinal level data is data representing categories with a meaningful order but not equal spacing between values. So, examples of ordinal level data include rankings such as 1st, 2nd, 3rd. And there's also satisfaction ratings such as poor, fair, good. And as we should note and recall, the operations that are allowed for ordinal level data is to determine the order, which is greater or less, to use the median or mode or median and mode, I should say, and you cannot do or use addition, subtraction, multiplication, or division meaningfully. We also need to recall and note what the definition of ratio level data is, and as we should note, the definition states that data with a meaningful order, equal intervals, and a true 00 means none of the quantity. So, the operations that are allowed for ratio level data are all ordinal operations such as ordering comparisons, addition, subtraction, multiplication, and division. And we can calculate the mean, median, and mode and use ratios, for example, twice as much. So now, We can analyze the claim that is being made by our current statement by the problem itself. So we need to note that the statement, the ratio level of measurement, supports fewer mathematical operations than the ordinal level. This implies that the ordinal is somehow more powerful than the ratio in terms of mathematical operations. However, as we've seen when we went over the definitions for ordinal level data and ratio level data, we shouldn't be able to recognize the fact that ratio level data supports all operations. That ordinal data does not, and it does more. So it supports all operations that or data does and does more and more. So. With that said, That means that this current statement that is given to us is false. So we have to make a note of that because once again, I'll say it again, because this is very important. So as we note from what we went over about ordinal level data and ratio level data, that means that ratio data supports all operations that oral data does and also does even goes a step further and covers more ground than ordinal data does. So that means that our given statement, without a doubt has to be false. And as you should note and recall, ratio level data supports more, not fewer operations than ordinal level data does. So the corrected true statement would have to be the ratio level of measurement supports more mathematical operations than the ordinal level. So that will mean. That without a doubt, our final two answers summarized will have to be the following. So our statement is false, and the corrected statement states that ratio level data supports more mathematical operations than ordinal data, and that's it. We've officially solved for this problem. Thank you so much for watching. Hopefully that helped, and I can't wait to see you in the next video. Bye.

Determine whether the statement is true or false. If it is false, rewrite it as a true statement.
More types of calculations can be performed with data at the nominal level than with data at the interval level.

Key Concepts

Nominal Level of Measurement

Interval Level of Measurement

Statistical Analysis Capabilities

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