Cell Phone Radiation If we collect a sample of cell phone radi...

Question

Cell Phone Radiation If we collect a sample of cell phone radiation amounts much larger than the sample included with Exercise 3, and if our sample includes a single outlier, how will that outlier appear in a histogram?

Accepted Answer

Hello, everyone. Let's take a look at this question together. A large data set of household electricity consumption in kilowatt hours is collected and displayed in a histogram. If a single household has an unusually high electricity consumption compared to the rest, how will this outlier appear in the histogram? Is it answer choice A? The outlier will appear as a separate bar on the far right of the histogram. Answer choice B, the outlier will blend in with the rest of the bars, making it hard to notice. Answer choice C, the outlier will cause the histogram to become perfectly symmetric, or answer choice D, the outlier will not affect the histogram at all. So in order to solve this question, we have to recall what we have learned about histograms to determine which of the following answer choices best explains. How an outlier such as a single household having an unusually high electricity consumption when compared to the rest will appear in that histogram, which we can recall that we know an outlier refers to a value that is significantly different from the majority of the data points. So, in this scenario of a single household, having an unusually high electricity consumption when compared to the others, we know that the outlier is much larger than most values, and as a result, the outlier will be an isolated bar on the right side of the histogram, as it represents higher electricity consumption, as well as the is a single outlier since it is a single household that has the unusually high electricity consumption when compared to the others, and as a result, its frequency will be very low. Therefore, in this scenario, as a result of that outlier, the general shape of the histogram will mostly remain unchanged, however, the presence of that Outlier may slightly stretch the horizontal axis, which will make the other bars of the histogram appear compressed. And looking at our answer choices, we can identify that answer choice A is the correct answer, as it best describes how the outlier will appear in the histogram since it will appear as a separate bar on the far right of the histogram, and all other answer choices are incorrect. I hope you found this video to be helpful. Thank you and goodbye.

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