Graphical Analysis In Exercises 13 and 14, us...

Question

Graphical Analysis In Exercises 13 and 14, use the box-and-whisker plot to identify the five-number summary.

Box-and-whisker plot showing a five-number summary with values 0, 2, 5, 8, and 10 on a number line.

Accepted Answer

Hello everyone. Let's take a look at this question together. Find the 5 number summary for the following box and whisker plot where we have our box and whisker plot here, and we need to recall how to find a 5 number summary, which to find the 5 number summary from a box and whisker plot, we look for the following 5 key points that are marked on the plot, starting with the minimum value, which is the leftmost. Dot or the start of the left whisker. Then we look for Q1, which is our first quartile, and is found as the left edge of the box, then we look for our median or our Q2, so the second quartile and is found as the line inside of the box, then our Q3 or our third quartile is found as the right edge of the box. And lastly, our maximum is found as the rightmost dot or at the end of the right whisker. So then looking at our box and whisker plot, starting with our minimum, which is the leftmost dot or the dot at the start of the left whisker, we can see it refers to The dot that is found here, therefore, the value for our minimum is equal to 0. Then we are looking for the first quartile, which is the left edge of the box, and looking at our box and whisker plot, we see the left edge is found at the following data point. So the value for our first quartile or Q1 is equal to 3. Then we are looking for our median or Q2, which is found as the line inside of the box, and looking at our box and whisker plot, we can see that the line is found at the following data point. Therefore, the value for our median or Q2 is equal to 5, and then we are looking for our third quartile or Q3, which is found at the right edge of the box, and looking at our box and whisker plot, we can see the right edge of the box is found at the following data point. So the value for Q3 or our 3rd quartile, is equal to 7. And lastly, we can find the value for our maximum, which is the rightmost dot, so the dot at the end of the right whisker, which looking at our box and whisker plot, we can identify is the following data point. So the value for our maximum is equal to 10. Therefore, the following box and whisker plot gives us the values for our 5 number summary, which looking at our answer choices, we can identify it answer choice C. 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.

Graphical Analysis In Exercises 13 and 14, use the box-and-whisker plot to identify the five-number summary.

Key Concepts

Box-and-Whisker Plot

Five-Number Summary

Quartiles

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