In Exercises 5–8, answer the questions by referring to the fol...

Question

In Exercises 5–8, answer the questions by referring to the following Minitab-generated histogram, which depicts the weights (grams) of all quarters listed in Data Set 40 “Coin Weights” in Appendix B. (Grams are actually units of mass and the values shown on the horizontal scale are rounded.)

Class Width and Class Limits Give the approximate values of the class width, and the lower and upper class limits of the class depicted in the bar farthest to the left.

Histogram showing the frequency distribution of quarter weights in grams, with values ranging from 5.5 to 6.4 grams.

Class Width and Class Limits Give the approximate values of the class width, and the lower and upper class limits of the class depicted in the bar farthest to the left.

Accepted Answer

Hello, everyone. Let's take a look at this question together. Use the following histogram generated by statistical software, which represents the battery life in hours of a sample of smartphones. The values on the horizontal scale are rounded. Provide the estimated class width, along with the lower and upper class limits of the 4th bar from the left in the histogram. And here we have our histogram of smartphone battery life with our frequencies on the Y axis, and battery life in hours on the X-axis. And we have to provide the estimated class width, along with the lower and upper class limits of the 4th bar from the left, which we can identify is this bar right here. So in order to estimate the class width and determine the class limits for the 4th bar from the left, we have to estimate the class width, which we can identify that the X-axis ranges from 10 to 40 hours, and there are 15 bars in the histogram. So then we can calculate the class width, which is equal to the range divided by the number of bars. So the range is 40 minus 10, which we get from our X axis, and the number of bars is 15, so 40 minus 10 divided by 15 is equal to 2 hours. Therefore, our The estimated class width is 2 hours, and using the class widths, we can identify the 4th bar's class limits as the first bar starts at 10 and covers 10 through 12. The second bar covers 12 through 14, the third bar covers 14 through 16, and the fourth bar covers 16 through 18. Therefore, with an estimated class width of 2 hours, we know that the lower class limit of the 4th bar is 16 hours, and the upper class limit of the 4th bar is 18 hours. And using this information, we can identify that the correct answer choice is answer choice A. As our histogram has a class width of 2 hours, and the class limits are 16 through 18. So, answer choice A 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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Key Concepts

Histogram

Class Width

Class Limits

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