Exit Ticket 89 Chapter 6 Quiz Review 1. Three classes took the same test. Here is a box-and-whisker plot showing each class s scores. Class 1 Class 2 Class 3 50 60 70 80 90 100 a. Which class had the highest-scoring student, and what was this student s score? b. Rank the three classes based on their median test scores. best (highest): middle: worst (lowest): c. If a student had to score at least 65 points to pass the test, what percentage of the students in Class 1 passed the test? d. Which of the following things about Class 2 cannot be found using the given information? Circle the things that cannot be found. the mean the median the mode the first quartile the third quartile the number of students in the class 1
2. A veterinarian keeps track of how many kittens there are in each litter (group of kittens born at the same time) that she examines. Here are the sizes she records for 10 litters of kittens: 3, 7, 8, 3, 2, 6, 6, 7, 5, 3 a. Make a dotplot of the litter sizes. 1 2 3 4 5 6 7 8 # of kittens in a litter b. Find the mean of the litter sizes. Show your work. c. Find the mode of the litter sizes. d. Write the numbers in order. Then, find the minimum, Q1 (first quartile), median, Q3 (third quartile), and maximum of the litter sizes. Show work by identifying where you found the numbers in the list. Kittens Minimum: Q1 : Median : Q3 : Maximum: 2
e. The same veterinarian keeps track of how many puppies there are in each litter of puppies that she examines. Here is the Five Number Summary for this data. Minimum: 2 Q1 : 3.5 Median : 4 Q3 : 6 Maximum: 7 Make a paired box-and-whisker plot of the litter sizes for kittens and puppies. Make sure your label which plot is kittens and which is puppies. 3
3. Use the table below to answer the questions in this section. AGES OF US PRESIDENTS AT THEIR DEATH The table below lists the presidents of the United States and the ages at which they died. Washington 67 Filmore 74 Roosevelt 60 Adams 90 Pierce 64 Taft 72 Jefferson 83 Buchanan 77 Wilson 67 Madison 85 Lincoln 56 Harding 57 Monroe 73 Johnson 66 Coolidge 60 Adams 80 Grant 63 Hoover 90 Tyler 71 Garfield 49 Kennedy 46 a. Create a stem-and-leaf plot to represent the data above. 4 5 6 7 8 9 b. How many Presidents lived to an age greater than 80? List those numbers. c. What percent of the presidents lived to an age greater than 70? 4
d. Create a frequency table for the Presidential data using the intervals below. Grouped frequency table: Age Ranges 40 54 Number of Presidents 55 69 70 84 85 100 e. In what age range does the median of this data fall? f. Create a histogram using the frequency table above. Remember to label your axes with both numbers and words. 5
4. The data from a survey of 50 students is shown in the two-way table. The students were asked whether or not they were taking a foreign language and whether or not they played a sport. Play a Sport Do Not Play a Sport Total Take a Foreign Language 14 23 37 Do not take a Foreign Language 10 3 13 Total 24 26 50 a. What percent of the students who play a sport also take a foreign language? Show your work. b. What percent of the students play a sport? Show your work. c. What percent of the students who take a Foreign Language do not play a sport? Show your work. d. Is someone who plays a sport more likely to take a foreign language or not take a foreign language. Support your answer with percentages. 6
5. The following scatterplot shows the number of new cases of Melanoma (a type of skin cancer) per 100,000 people over several years. a. Use the rectangle method to find a line of best fit. b. Write the equation for your line in y = mx + b form. c. How many new cases would your line predict in 1985? d. Is part c interpolation or extrapolation? Explain your answer. e. How many new cases would your line predict in 2015? f. Is part e interpolation or extrapolation? Explain your answer. 7