Putting Graphs in Context In Exercises 5–8, m...

Question

Putting Graphs in Context In Exercises 5–8, match the plot with the description of the sample.

a. Times (in minutes) it takes a sample of employees to drive to work

b. Grade point averages of a sample of students with finance majors

c. Top speeds (in miles per hour) of a sample of high-performance sports cars

d. Ages (in years) of a sample of residents of a retirement home

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Accepted Answer

Hello, everyone, let's take a look at this question together. Which of the following best describes the plot below? And here we have a stem and leaf plot that we have to determine which answer choice best describes it. Is it answer choice A, scores out of 100 on a challenging math quiz? An choice B, daily high temperatures in Fahrenheit, recorded over 2 weeks in a mild climate. Answer choice C, ages and years of participants in a kindergarten class, or answer choice D time and minutes it takes for students to walk from their dorm to the library. So in order to solve this question, we have to identify the type of values that are present in this plot and determine which answer choice best describes it. And so the first step to identify which answer choice best describes this plot, we have to read the plot values. Starting with the first stem, we know we have the values of 57, and 9. The second stem, we have the values of 1012, 1417, and 19. The third stem, we have the values of 21, 23, and 25. And then the last stem, we have the value of 30. And then using these values, we can identify the range of the data. Which the data ranges from 5 to 30. And using that range of 5 to 30, we can analyze the following answer choices to determine which best describes that plot. And starting off with answer choice A, which says scores out of 100 on a challenging math quiz. Based on our calculated range, we know answer choice A is incorrect, as the range is too small, since 5 through 30 is our range, and this says scores out of 100. Then we have answer choice B, which says daily high temperatures in degrees Fahrenheit, recorded over 2 weeks in a mild climate. Well, since the lowest value of our range is 5, we know that 5 °F is too cold for a mild climate. Therefore, answer choice B is also incorrect. Then we have answer choice C, which says ages in years of participants in a kindergarten class. Well, given our range of 5 through 30, We can identify that ages 5 through 7 are typical for participants in a kindergarten class, however, ages up to 30 are not. Therefore, answer choice C is also incorrect, leaving only one remaining answer choice, which is answer. Choice D, as answer choice D says, I'm in minutes that it takes for students to walk from their dorm to the library, which 5 to 30 minutes is a reasonable range for walking, so answer choice D is the correct answer. I hope you found this video to be helpful. Thank you and goodbye.

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Key Concepts

Data Representation

Descriptive Statistics

Contextual Analysis

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