"Determine whether the data are qualitative or quantitative, a...

Question

"Determine whether the data are qualitative or quantitative, and determine the level of measurement of the data set.

The numbers of performances for the 10 longest-running original runs of Broadway shows as of March 15, 2020, are listed. (Source: Playbill)

13,370 9692 9302 7485 6836 6680 6137 5959 5758 5461"

Accepted Answer

Hello everyone, glad to have you back. Our next problem says classify the following data as qualitative or quantitative and specify the level of measurement. The following are the weights in kilograms of the 10 heaviest pumpkins at a state fair. 1,025, 987, 965, 920, 899, 880, 870, 860, 845, 830. Our answer choices are A qualitative, nominal level of measurement, B, quantitative, interval level of measurement. C qualitative ordinal leveler of measurement or D quantitative ratio level of measurement. So, the easiest one is qualitative versus quantitative, quantitative being a numerical value. That can be measured as opposed to a label, so a qualitative. Set of data would consist of labels. Like 1st, 2nd and 3rd place, or these are the top 5 movies in the country. And here we have weights. So those are. Numerical values that can be measured, so quantitative. Is our answer. So that's going to be either choice B or D. We can rule out choice A, which says qualitative, and choice C which is qualitative. Now we need to think about what level of quantitative quantitative measurement are we talking about? Well, we could have an interval. Level of measurement, so we'll say quantitative. And this would mean there are consistently spaced intervals between our values, which means the values can be added and subtracted. So, we do indeed have that, a little check mark there. Because our weight in kilograms, the difference between 1 kg and 2 kg is the same as between 2 kg and 3 kg. We can add and subtract weights. So interval, we do have, but we need to keep going up and see, do we meet the next level up? And the next level would be the ratio level. And this means that there is a true 0. Possible for our values which would mean an absence. Of the quality being measured. So in this case, weight does have a true zero, something that's 0 kg has no weight. So, our answer is going to be choice D, that it's quantitative at the ratio level of measurement, because we have a true zero. And this means you can look at meaningful ratios between the values. And we'll cross out quantitative interval level, because we're more than interval level, we're at the ratio level. Just touching base briefly on our two qualitative measures here, the nominal level would be labels. With no order. And then the ordinal level would be labels rather than numerical values, but they can be ranked in order. So most popular this or Most frequently purchased model, that kind of thing. But again, we are asked, we have a set of weights of the 10 heaviest pumpkins at the state fair. We're supposed to classify that as qualitative or quantitative, and specify the level of measurement, and the answer is choice D. These are quantitative values at the ratio level of measurement. See you in the next video.

Key Concepts

Qualitative vs. Quantitative Data

Levels of Measurement

Descriptive Statistics

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