Cell Phone Radiation. Listed below are amounts of cell phone r...

Question

Cell Phone Radiation. Listed below are amounts of cell phone radiation (W/kg) measured from randomly selected cell phones (based on data from the Federal Communications Commission). Use these values for Exercises 1–6.

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Level of Measurement What is the level of measurement of these data (nominal, ordinal, interval, ratio)? Are the original unrounded amounts of radiation continuous data or discrete data?

Accepted Answer

All right. Hello, everyone. So this question says the following data represent the battery life in hours of randomly selected laptop models from a consumer electronics survey. Use these values to answer the questions below. And here the battery life in hours is 5.2, 7.8, 6.5, 9.1, 8.4, 4.9, 10.3, and 6.7. Now the question has two parts. Part one says to determine the level of measurement of these data, whether it's nominal, ordinal, interval, or ratio. Part two says, are the original unrounded battery-like durations classified as continuous or discrete data? And here we have 4 different answer choices labeled A through D. Entering both parts 1 and 2. So first, let's start with the different levels of measurement. Starting off with the nominal. Right. Recall that nominal data. Is when data is categorized, but without any specific order. So an example of this would be different cities in a certain state. There are distinct categories, but you wouldn't really rank them over another. On the other hand, we have ordinal data. And the word ordinal reminds me of order. Which is what helps me remember that ordinal data is indeed. Categorized for each category has a meaningful order to them. So an example of this would be the different rankings within a company hierarchy. And now For both interval and ratio, an important thing to take into account is that both interval and ratio have meaningful differences between each data value. The difference is that in interval, there is no true zero. Whereas ratio does have a true zero. An example of ratio would be, for example, revenue, because you could say that you have zero income. So now back to the example. In this case, the data is battery life in hours. So here there are meaningful differences between each value. Because a battery life of 10.3, for example, is better than a battery life of 4.9 hours. And in addition to that, you could say that there is a true 0. Because having zero battery life would mean in this context that there is no power. So therefore, ratio is more appropriate for this context. So now, is the data discrete or continuous? Well, the difference, if you recall, is that discrete data is counted, whereas continuous data is measured. And so because discrete data is counted, you usually only use whole numbers to report discrete values. On the other hand, Continuous data, because it's measurable, can take any number within a certain range. So here, especially since we have decimals in this case, battery life measured in hours can take any value within a range. So here, For part 1, our answer is ratio, and for part 2, this data is continuous, meaning option D is correct. And there you have it. So with that being said, thank you so very much for watching, and I hope you found this helpful.

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Key Concepts

Levels of Measurement

Continuous vs. Discrete Data

Understanding Radiation Measurements

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