Statistical Inferences

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. Lin concludes that the top 25 finishers in the second tournament typically caught fish with a total weight between 38.4 and 44.6 pounds. Do you agree with Lin? Explain your reasoning.

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HSS-ID.A.2

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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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 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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Paul and Denise will collect data to find out where the 7th grade class should hold their end-of-the-year picnic. Which group should Paul and Denise survey to collect the best data?

• 30 of their friends

• all of the students on the baseball team

• the first 20 students in the lunch line

• 10 randomly selected students from each of the four 7th grade classrooms

Mrs. Haywood made dot plots of her 2 math classes' recent math tests.

Which statement is true?

• All of the students in 1st period did worse than the students in 2nd period.

• Most students scored a 75 or 80.

• There were students in 1st period that scored higher than students in 2nd period.

• Most students scored an 85 of better.

At Dominique's Donuts the number of donut holes in a bag can vary. Help Dominique find the mode.
12,10,10,10,13,12,11,13,10

• 13

• 12

• 11

• 10

What is the interquartile range (IQR)?

• 4

• 64

• 60

• 8

Darrien surveys 60 of the actors theater class. He concludes that 8 out of 15 actors have previous acting experience. What is the sample size?

• 60

• 8

• 15

• 53