Song Lengths Side-by-side box-and-whisker plo...

Question

Song Lengths Side-by-side box-and-whisker plots can be used to compare two or more different data sets. Each box-and-whisker plot is drawn on the same number line to compare the data sets more easily. The lengths (in seconds) of songs played at two different concerts are shown.

d. Can you determine which concert lasted longer? Explain.

Side-by-side box-and-whisker plots comparing song lengths from Punk Rock and Jazz concerts, measured in seconds.

d. Can you determine which concert lasted longer? Explain.

Accepted Answer

Hello everyone. Let's take a look at this question together. The heights in centimeters of plants grown under two different light conditions, Condition A and condition B, are shown using side by side box and whisker plots, which condition appears to produce taller plants on average? And here we have our side by side box and whisker plots of the plant heights under two light conditions where we have condition A on the left. And condition B on the right, and our y axis measures their height in centimeters, and we have to determine is it answer choice A, condition A produces significantly taller plants, answer choice B, condition B produces significantly taller plants. Answer choice C. Both conditions produce plants of similar average height, or answer choice D, the average heights cannot be determined from box plots. So in order to solve this question, we have to recall what we have learned about interpreting side by side box and whisker plots to determine which condition appears to produce taller plants on average. And we can recall that in a box and whisker plot, the median, which is the line inside of the box, represents the average height, and based on the provided side by side box and whisker plot. We can identify that condition A has a median, which is that orange line inside of the box of 14 centimeters. As well as condition B, has a median of 15 centimeters. Therefore, since condition B has a median, which we know is the orange line inside of the box of 15 centimeters, which is larger than the line of condition A, which is 14 centimeters, that tells us that condition B appears to produce taller plants on average, since its median plant height is higher than that of condition A, and look. At our answer choices, we can identify that answer choice B is the correct answer, as condition B produces significantly taller plants, since it has a median of 15 centimeters compared to the median of condition A, which is only 14 centimeters. So answer choice B is the only correct answer choice. I hope you found this video to be helpful. Thank you and goodbye.

Key Concepts

Box-and-Whisker Plot

Quartiles

Comparison of Data Sets

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