Boston Commute Time The accompanying table summarizes daily co...

Question

Boston Commute Time The accompanying table summarizes daily commute times in Boston. How many commute times are included in the summary? Is it possible to identify the exact values of all of the original data amounts?

Table displaying daily commute times in Boston, showing time ranges and their corresponding frequencies.

Accepted Answer

All right, hello, everyone. So this question says grocery shopping duration. The following data summarizes the duration of grocery shopping trips in a city. How many shopping trips are listed in the summary? Is it possible to determine the exact duration of each original shopping trip? And here we not only have the data table provided, but also. Four different answer choices labeled A through D. So, what you'll notice here is that the information is presented in classes, right? So there are different ranges of times for the grocery shopping trips in minutes. With a corresponding frequency representing how many grocery trips fall in between each time frame or in between each time range. So to understand the total number of shopping trips, what you do is add all of the frequencies in each category. So the sum of 520, 460, 1012, and 8 gives you your answer. And that just so happens to be 1100. So when it comes to the second part of the question, as mentioned before, the data is summarized in intervals. That is, each individual shopping trip. Is placed into a given category based on approximately how much time it lasted. And so within each specific interval, we know how many trips correspond to that range, but we don't know how long those trips were precisely. Because when you consider the first category ranging from 0 to 24 minutes, we know that there are 520 grocery shopping trips that fall within that range, but we don't know the exact duration of all 520 trips. So therefore, right, our correct answer is going to be option B in the multiple choice, because the total number of trips was 1110. And no, it is not possible to identify the exact duration of the original shopping trips. And there you have it. So with that being said, thank you so very much for watching and I hope you found this helpful.