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. Explain your reasoning.

The numbers of employees at fast-food restaurants in a city are listed.

20 11 6 31 17 23 12 18 40 22 13 8 18 14 37 32 25 27 25 18

Accepted Answer

Hello, everyone, let's take a look at this question together. A researcher records the weights in kilograms of dogs at an animal shelter, which are 7, 12, 9, 1511, 8, 1410, 13, and 16. Are these data qualitative or quantitative, and what is the level of measurement? Provide your reasoning. So, in order to solve this question, we have to look at our data of the weights in kilograms of the dogs at the animal shelters, and determine if the data is qualitative or quantitative, and what is the level of measurement. Which we know that qualitative data describes categories or qualities such as colors, names, or brands, whereas quantitative data involves numerical values that represent a measurable quantity, and in this case, the values that are given are weights measured in kilograms. which we know are numerical and can be added, subtracted, and compared. Therefore, the type of data that we have is quantitative data as the weights measured in kilograms of the dogs at an animal shelter are numerical values that represent a measurable quantity. So our data is quantitative. And now we have to determine what level of measurement these values are, which we know that there are 4 levels of measurements in statistics, starting with nominal, which is the level of measurement involving 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 is numerical values with equal spacing, but no true zero, such as temperature in Celsius. And lastly, we have the ratio level of measurement, which is numerical values with equal spacing and a true zero, allowing for meaningful ratios such as height, weight, or age. And so looking at our data, since we have the weight in kilograms of dogs at an animal shelter, we know that weight in kilograms has all of the properties of the ratio level of measurement, as the weight is numerical and the intervals between the values are meaningful, such as 16 kg minus 8 kg is 8 kg, we also know that there is a true zero as 0 kg means that the dog has no weight. And lastly, you can make ratios out of the data as 16 kg is twice as heavy as 8 kg. Therefore, we know that our data values are both quantitative and the level of measurement is ratio. And looking at our answer choices, we can identify that answer choice C is the correct answer as the type of data that we are provided. Is quantitative data and the level of measurement is ratio as the data follows all of the characteristics of the ratio level of measurement. Since it is numeric, the differences and ratios are meaningful and zero represents the absence of weight. So answer choice C is the correct answer, and all other answer choices are incorrect. I hope you found this video to be helpful. Thank you and goodbye.

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Determine whether the data are qualitative or quantitative, and determine the level of measurement of the data set. Explain your reasoning.
The numbers of employees at fast-food restaurants in a city are listed.
20 11 6 31 17 23 12 18 40 22 13 8 18 14 37 32 25 27 25 18

Key Concepts

Qualitative vs. Quantitative Data

Levels of Measurement

Descriptive Statistics

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