Name: Class: Date: Ver: 2 Secondary Math 1 Unit 9 Review 1. A charity randomly selected 100 donors. The mean donation amount of those donors is calculated. Identify the sample and population. Describe the sample statistic and the population parameter. 2. Find the mean, median, mode, range, and standard deviation of the data set obtained after multiplying each value by 0.5. Round to the nearest tenth if necessary. 8, 4, 12, 15, 5, 8, 7, 11, 13, 9, 10, 16 Jason's and Colleen's quiz scores for the first quarter are shown in the tables below. Jason's Quiz Scores 13 19 18 19 17 16 18 17 14 16 11 15 19 20 18 20 Colleen's Quiz Scores 14 11 13 14 15 12 10 11 16 12 15 12 13 13 13 14 3. What conclusion can you draw about the quiz scores for Jason and Colleen? a. No conclusion can be made. b. Overall, Colleen earned higher scores on the quizzes. c. Overall, Colleen and Jason earned about the same scores on the quizzes. d. Overall, Jason earned higher scores on the quizzes. Powered by Cognero Page 1
The tables show the number of points scored by a basketball team this season. Hurricanes Points Scored 45 40 49 42 50 46 45 37 40 42 51 48 45 43 46 47 4. Use a graphing calculator to construct a box-and-whisker plot for the Hurricanes' number of points scored. Describe the shape of the distribution. a. The distribution is linear. b. The distribution is negatively skewed. c. The distribution is symmetric. d. The distribution is positively skewed. A standard deck of cards contains 52 cards divided evenly into four suits. The suits are hearts and diamonds which are red and clubs and spades which are black. Each suit is composed of cards numbered two through ten and a jack, queen, king, and ace. 5. What is the probability of selecting a red or black card? a. 1 b. 6. What is the probability of selecting a spade or a club from a standard deck of cards? The table lists the number of male and female students at Lakeside High School. Lakeside High School Students Grade Male Female 9th 216 193 10th 207 214 11th 198 197 12th 194 201 7. What is the probability of selecting a ninth or tenth grade student? Powered by Cognero Page 2
8. Students were asked to name their favorite type of music. Find the experimental probability that a student chose hip hop or country. Music Frequency Rock 18 Hip Hop 9 Country 12 Alternative 9 Classical 5 9. Every 50th can of mixed nuts coming off of a manufacturing line is removed and weighed. The mean weight of a day's sample is calculated. Which of the following represents the sample statistic? a. cans that are removed and weighed b. mean weight of all cans produced c. mean weight of the removed cans d. all cans of nuts made 10. In a small coffee shop, 4 people order coffee A, 8 people order coffee B, and 6 people order coffee C. If a person is chosen at random, what is the probability of choosing a person who ordered coffee A or coffee C? The tables show the number of books read during the summer by students in two homerooms. Mr. Chen 2 2 3 9 4 5 4 5 9 3 Ms. Vieth 3 3 4 9 4 5 6 7 8 10 11. What conclusion can you draw about the number of books read during the summer by students in each homeroom? a. On average, students in Ms. Vieth s class read more books during the summer than students in Mr. Chen s class. b. No conclusion can be made. c. On average, students in Mr. Chen s class read more books during the summer than students in Ms. Vieth s class. d. On average, students in both homerooms read about the same number of books during the summer. Powered by Cognero Page 3
12. The test scores from a math class are shown below. 88, 72, 75, 80, 77, 85, 90, 92, 85, 84, 76, 79, 85, 75, 87, 82 a. Find the mean, median, mode, range, and standard deviation of the data set. b. Suppose the teacher adds 5 points to each test score. How will this affect the mean, median, mode, range, and standard deviation of the test scores? Explain. 13. Find the mean, median, mode, range, and standard deviation of the data set obtained after adding 10 to each value. Round to the nearest tenth if necessary. 93, 84, 86, 95, 90, 81 Use the table below that shows the typing speed 500 people in a community. Typing Speed (wpm) Probability 10-30 196 31-50 140 51-70 96 71-90 68 14. If a person is randomly selected, what is the probability that his typing speed is more than 50 wpm? 15. Every 40th bag of dog food coming off of a manufacturing line is removed and weighed. The median weight of a day's sample is calculated. Which of the following represents the population parameter? a. median weight of the removed bags b. all bags of dog food produced c. median weight of all bags produced d. bags that are removed and weighed Powered by Cognero Page 4
Secondary Math 1 Unit 9 Review Answer Key 1. The sample is the group of 100 donors from the population of all donors. The sample statistic is the mean donation of the group of 100 donors and the population parameter is the mean donation of all donors. 2. mean: 4.9, median: 4.8, mode: 4, range: 6, standard deviation: 1.8 3. d 4. c 5. a 6. d 7. b 8. a 9. c 10. 11. a The probability of one or the other of two mutually exclusive events can be found by adding the probability of the first event to the probability of the second event. 12. a. mean: 82, median: 83, mode: 85, range: 20, standard deviation: 5.74 b. The mean, median, and mode will each increase by 5 points. The range and standard deviation will remain the same. 13. mean: 95.8, median: 96, mode: 96, range: 23, standard deviation: 6.9 14. or 32.8% 15. c The probability of an event is equal to the sum of the individual probabilities. Powered by Cognero Page 5