Studying Refer to the data set in Exercise 23 and the box-and-...

Question

Studying Refer to the data set in Exercise 23 and the box-and-whisker plot you drew that represents the data set.

c. You randomly select one student from the sample. What is the likelihood that the student studied less than 2 hours per day? Write your answer as a percent.

Accepted Answer

Hello everyone. Let's take a look at this question together. The box and whisker plot shown represents the number of movies a group of 60 people watched last month. What is the likelihood as a percent that a randomly selected person watched fewer than 2 movies last month? And here we have our box and whisker plot of the movies watched last month, and we want to know, is the percent that a randomly selected person watched fewer than 2 movies last month, Answer choice A, exactly 12.5%, answer choice B, about 25%, answer choice C about 50%, or answer choice D, exactly 75%. So, in order to solve this question, we have to recall how to interpret a box and whisker plot to determine the likelihood as a percent that the randomly selected person watched fewer than 2 movies last month. And so here we have our box and whisker plot, which looking at it, we can identify our Q1 or our first quartile is equal to 2, based on the position of that first dot, and it is at the number 2. Spot, which we also know that our Q1 or the first quartile is the value at the 25th percentile, which this means that 25% of the people watched two movies or fewer. So then if we want the percentage who watched fewer than two movies, we know that it is less than 25%. As some of those 25% have watched exactly 2 movies. Therefore, since we are not able to identify the exact percentage, given that the first quartile is defined as the value at the 25th percentile, and assuming the data is evenly distributed within each quartile, we can say that about 25% watched fewer than 2 movies last month. So the likelihood that a randomly selected person watched fewer than 2 movies last month is answer choice B about 25%, and all other answer choices are incorrect. I hope you found this video to be helpful. Thank you and goodbye.

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Studying Refer to the data set in Exercise 23 and the box-and-whisker plot you drew that represents the data set.

c. You randomly select one student from the sample. What is the likelihood that the student studied less than 2 hours per day? Write your answer as a percent.

Key Concepts

Box-and-Whisker Plot

Probability

Percentages

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Studying Refer to the data set in Exercise 23 and the box-and-whisker plot you drew that represents the data set.c. You randomly select one student from the sample. What is the likelihood that the student studied less than 2 hours per day? Write your answer as a percent.