Name: ____________________________________ Alg.2/H Regents Review #23 due 5/19 1. Anne has a coin. She does not know if it is a fair coin. She flipped the coin 100 times and obtained 73 heads and 27 tails. She ran a computer simulation of 200 samples of 100 fair coin flips. The output of the proportion of heads is shown below. 3. What is the sample standard deviation of the data in the table below, rounded to the nearest tenth? Given the results of her coin flips and of her computer simulation, which statement is most accurate? 1. 73 of the computer’s next 100 coin flips will be heads. 2. 50 of her next 100 coin flips will be heads. 3. Her coin is not fair. 4. Her coin is fair. 2. Julie averaged 85 on the first three tests of the semester in her mathematics class. If she scores 93 on each of the remaining tests, her average will be 90. Which equation could be used to determine how many tests, T, are left in the semester? 1. 12.5 3. 17.1 2. 12.8 4. 18.7 4. The scores of 1000 students on a standardized test were normally distributed with a mean of 50 and a standard deviation of 5. What is the expected number of students who had scores greater than 60? 1. 1.7 3. 46 2. 23 4. 304 2. 5. The table below shows the number of points scored during the last six basketball games for two players. Game Game Game Game Game Game 1 2 3 4 5 6 3. Player 1 25 32 11 7 19 24 4. Player 2 3 12 25 14 8 29 1. How much higher is Player 1's median score than Player 2's median score? 1. 10.5 3. 6.5 2. 8.5 4. 4.5 6. The table below displays the number of siblings of each of the 20 students in a class. 8. Christopher looked at his quiz scores shown below for the first and second semester of his Algebra class. Semester 1: 78, 91, 88, 83, 94 Semester 2: 91, 96, 80, 77, 88, 85, 92 Which statement about Christopher’s performance is correct? What is the population standard deviation, to the nearest hundredth, for this group? 1. 1.11 3. 1.14 2. 1.12 4. 1.15 7. Mrs. Porter recorded her students’ grades in the frequency table below. 1. The interquartile range for semester 1 is greater than the interquartile range for semester 2. 2. The median score for semester 1 is greater than the median score for semester 2. 3. The mean score for semester 2 is greater than the mean score for semester 1. 4. The third quartile for semester 2 is greater than the third quartile for semester 1. 9. Which statement is true about the data set 4, 5, 6, 6, 7, 9, 12? 1. mean = mode 3. mean < median 2. mode = median 4. mode > mean 10. All of the students in Mr. Goshen’s class have taken a test. The sum of their test scores is 1700. All of the students in Mr. Haas’s class have taken the same test, and the sum of their test scores is 1650. Is it possible to compare the mean score of the test takers in Mr. Goshen’s class to the mean score of the test takers in Mr. Haas’s class? Which statement is true for the data? 1. 2. 3. 4. mean > median > mode mean > mode > median mode > median > mean median > mean > mode 1. Yes, because we know the sum of the test scores, and we know that it is the same test. 2. Yes, because we know the sum of the test scores, and we know that all of the students in each class took the test. 3. No, because we don’t know how many students are in each class. 4. No, because we don’t know the median value of the test scores in each class.
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