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.)

Sample Size What is the approximate number of quarters depicted in the three bars farthest to the left?

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

Sample Size What is the approximate number of quarters depicted in the three bars 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. What is the approximate number of smartphones represented in the 3 bars farthest to the right? And here we have our histogram of smartphone battery life, where our X-axis represents battery life in hours, and our y axis represents the frequency, and we have to determine, is it answer choice A6, answer choice B9, answer choice C 19, or answer choice D 28. So, in order to solve this question, we have to analyze the histogram that we are given for the smartphone battery life, to determine the approximate number of smartphones that are represented in the 3 bars farthest to the right, which looking at our histogram, we Identify that the 3 bars farthest to the right are the bar right here, this bar, as well as this bar here. So we have our 3 bars farthest to the right, and we need to determine the approximate number of smartphones represented by all 3 bars together. And so starting with the bar that is farthest to the right, we need to determine the approximate number for this bar, which we can see that it is between 32 and 34 in the battery life hours and looking at our free. frequency on the Y axis, we see that it is approximately between 0 and 2.5. However, it is a little bit less than the halfway mark between 0 and 2.5, so we can assume that the bar farthest to the right. Has an approximate value of one. Then moving on to the bar that is to the left of it between the 30 and 32 battery life hours, looking at our Y axis of frequency, we can determine that the bar is just below that 7.5 mark on the Y axis, so we can estimate that the second bar farthest from the right. Has an approximate value of 7. Then looking at our last bar, farthest from the right, which is between 28 to 30 battery life hours, looking at our y axis of frequency, we can identify this bar is directly on the line for the frequency of 10, therefore, the value for this bar. It is exactly 10, and so we add up our values of 10, 7, and 1. which the sum of 10 + 7 + 1 is equal to 18. So the value of smartphones represented in the three bars farthest to the right is approximately 18. However, looking at our answer choices, we can identify we do not have 18 as an answer choice listed. And the closest answer to 18 is 19, which makes answer choice C the correct answer. So the approximate number of smartphones represented in the 3 bars farthest to the right is answer choice C19. 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

Frequency

Sample Size

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