Determine whether the data are qualitative or quantitative, an...

Question

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

The top six final scores at the 2021 U.S. Women’s Figure Skating Championships are listed. (Source: NBC Sports)

232.61 215.33 214.98 213.39 199.95 178.89

Accepted Answer

Hello, everyone, let's take a look at this question together. A biology class records the heights in centimeters of 5 different plants, and their results are 1522, 1825, and 20. Are these data qualitative or quantitative, and what is the level of measurement? So, in order to solve this question, we have to recall what we have learned about qualitative data and quantitative data to determine whether the heights in centimeters of 5 different plants is qualitative or quantitative, and what is the level of measurement. So, in order to solve this question, we have to recall what we have learned about qualitative versus quantitative data, as well as the different levels of measurement to determine whether the heights of 5 different plants is qualitative or quantitative data, and what their level of measurement is. And we can recall that qualitative data describes categories or. Qualities, whereas quantitative data involves numerical values that represent a measurable quantity. So looking at the heights of 5 different plants, we know that the data for the heights of the 5 different plants are quantitative data because they represent numerical measurements, such as heights in centimeters, that can be measured and ordered. So the heights of the 5 different plants are quantitative data and are not qualitative data as they involve numerical values. And now we need to determine what is the level of measurement, which we know that there are 4 levels of measurement in statistics, starting with the nominal level of measurement, which involves categories with no inherent order. Such as hair color or gender, then we have the ordinal level of measurement, which involves categories with a meaningful order, but unequal or unmeasurable intervals between them, such as letter grades or satisfaction ratings. Then we have the interval level of measurement, which involves numerical values with equal spacing, but no true zero, such as temperature in. Celsius, and lastly, the ratio level of measurement, which involves numerical values with equal spacing and a true zero, allowing for meaningful ratios such as height, weight, or age. Well, from the four levels of measurement in statistics and looking at our data, we know that the ratio level of measurement involves numerical values with equal spacing and To true zero, allowing for meaningful ratios, and an example of the ratio level of measurement are height measurements, and since the provided data is heights in centimeters of 5 different plants, we know that the level of measurement of our data is ratio, and we know that it is the ratio level of measurement because the numbers have a true zero as a height of 0 centimeters. There is no height, and the differences and ratios between the values are meaningful. For example, 20 centimeters is twice as tall as 10 centimeters. So the data are quantitative and the level of measurement is ratio, which makes answer choice be the correct answer, and all other answer choices are incorrect. I hope you found this video to be helpful. Thank you and goodbye.

Determine whether the data are qualitative or quantitative, and determine the level of measurement of the data set.
The top six final scores at the 2021 U.S. Women’s Figure Skating Championships are listed. (Source: NBC Sports)
232.61 215.33 214.98 213.39 199.95 178.89

Key Concepts

Qualitative vs. Quantitative Data

Levels of Measurement

Descriptive Statistics

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