Algebra 2 | Unit 7: Statistical Inferences | Check Your Readiness

The dot plot displays the number of wins for 25 students who play an online video game. Create a histogram to display the data represented in the dot plot.

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Clare is preparing a table for her weekly report for the marketing department that details the number of views of an advertisement on 3 different social media networks. Which social media network has the greatest mean number of views for the week? Explain your reasoning.

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Clare is preparing a table for her weekly report for the marketing department that details the number of views of an advertisement on 3 different social media networks. Which social media network has the greatest standard deviation for the number of views for these seven days? Explain your reasoning.

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Kiran asks 23 of the students in his 10th grade class which event they would like to see at the next high school assembly. This is his list of games the students prefer: egg toss: 2, leapfrog: 6, scooter racing: 15. Kiran concludes that a majority of the students at his high school prefer scooter racing to the other two events. Is Kiran’s conclusion reasonable? Explain your reasoning.

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Jada creates a survey to find out how current freshmen from a university feel about the difficulty of their first semester courses. She plans to give the survey to 100 people. How should Jada select who to give the survey to so she can find out how current freshmen at the university feel about the difficulty of their first semester courses? Explain your reasoning.

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Three students give the same survey to different random samples of students from their high school in which each sample contains 50 students. The survey asks, 'Did you play in a soccer league in elementary school?', and the responses are summarized in the table. If 800 students attend the high school, estimate the total number of students who played in a soccer league in elementary school. Explain your reasoning.

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In 2016, there were 11 different best-performing songs, and in 2017, there were 12 different best-performing songs. The dot plots summarize the number of weeks that each of the different songs were the best-performing song. Which measure of center would you use to compare the number of weeks at the top for best-performing songs in 2016 and 2017? Explain your reasoning.

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In 2016, there were 11 different best-performing songs, and in 2017, there were 12 different best-performing songs. The dot plots summarize the number of weeks that each of the different songs were the best-performing song. Which year’s data set shows more variability in the number of weeks that each best-performing song spent as the best-performing song? Use statistics to support your answer.

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In a bass-fishing tournament, the mean total weight of fish caught by each of the top 25 finishers was 41.5 pounds with a standard deviation of 3.1 pounds. In the previous bass-fishing tournament, the mean total weight of fish caught by each of the top 25 finishers was 37.75 pounds with a standard deviation of 6.2 pounds. For both tournaments, the distributions are symmetric and bell-shaped. Compare the measures of center and variability of the two data sets.

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In a bass-fishing tournament, the mean total weight of fish caught by each of the top 25 finishers was 41.5 pounds with a standard deviation of 3.1 pounds. In the previous bass-fishing tournament, the mean total weight of fish caught by each of the top 25 finishers was 37.75 pounds with a standard deviation of 6.2 pounds. For both tournaments, the distributions are symmetric and bell-shaped. Diego concludes that the first-place finisher in the latest bass-fishing tournament must have caught fish with a total weight greater than the first-place finisher of the previous bass-fishing tournament because the mean plus the standard deviation from the latest tournament is greater than the mean plus the standard deviation of the second tournament. Do you agree with Diego? Explain your reasoning.

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