1. Washington High wants to estimate the number of seniors who plan to go to a 4'year college. Answer the following. [a] Which of the following surveys probany would best represent the entire population of seniors? S Glee Club members are randomly selected; 32 plan to go to a 4'year college. 5i] seniors are randomly selected; 35 plan to go to a 4'year college. 5i] honor roll students are randomly selected from the senior class; 42 plan to go to a 4-year college. {b} There are 55D seniors at Washington High. Using your answer from part {a}, esmate the number of seniors who plan to go to a 4-year college. _....... 2. Karen asked 12 students how many courses they have taken so far at her college. Here is the list of answers. 14, 3, 22, 10, 3, 5, 23, 18, 16, 9, 1, 26 What is the percentage of these students who have taken fewer than 4 courses?3. Graph A and Graph B both show the number of subscribers in the Healthy Eats meal delivery service for two months: June 2015 and June 2020. (Both graphs show exactly the same data.) Graph A Graph B June 2015 205,480 subscribers June 2020 Subscribers of Healthy Eats 30 0 405,840 subscribers June 2015 June 2020 (a) Give a rough estimate of the change in the number of subscribers between the two months. (Give the best answer.) The number of subscribers was about as high in 2020 as in 2015. 10 The number of subscribers was about as high in 2020 as in 2015. O The number of subscribers was about 4 times as high in 2020 as in 2015. O The number of subscribers was about 2 times as high in 2020 as in 2015. (b) Approximate the difference in the number of subscribers for the two months. Write your answer to the nearest whole number, in hundreds of thousands of subscribers. (c) Which of the two graphs is more likely to be misleading? Why? (Choose the best answer.) Graph A could mislead a person into thinking the increase in the number of subscribers between the two months is larger than it actually was. This is because for the larger picture of a pot both the width and the height are larger than that of the smaller picture of a pot. This makes comparing the areas of the two pictures of a pot misleading. O Graph A could mislead a person into thinking the increase in the number of subscribers between the two months is smaller than it actually was. This is because for the larger picture of a pot both the width and the height are larger than that of the smaller picture of a pot. This makes comparing the areas of the two pictures of a pot misleading. Graph B could mislead a person into thinking the increase in the number of subscribers between the two months is smaller than it actually was. This is because for the larger bar only the height is larger than that of the smaller ber, while the widths of the two bars are the same. This makes comparing the heights of the two bars misleading. 0 Graph B could mislead a person into thinking the increase in the number of subscribers between the two months is larger than it actually was. This is because for the larger bar only the height is larger than that of the smaller bar, while the widths of the two bars are the same. This makes comparing the heights of the two bars misleading.4. The noon temperatures (in Fahrenheit) for two cities were recorded over a given month. The box-and-whisker plots below (sometimes called boxplots) summarize the noon temperatures for each city. Use the box-and-whisker plots to answer the questions. City A City B 55 60 65 70 75 80 85 95 Noon temperature (in Fahrenheit) City A Which city had noon temperatures with a larger interquartile range (IQR)?| City B both had the same IQR City A Which city had a larger median noon temperature? City B both had the same median City A Which city had the highest noon temperature? City B both had the highest City A Which city had more noon temperatures above 78 "F ? City B both had the same number 5. Here are the ages (in years) of 12 professors at a college. 64, 54, 35, 31, 64, 41, 57, 72, 27, 38, 29, 43 What is the percentage of these professors who are younger than 42?6. The last 11 calls to a customer support line had the following lengths (in minutes). 14, 53, 54, 57, 58, 59, 62, 64, 66, 66, 97 Complete the parts below to identify any outliers. (a) Let (, be the lower quartile and (; be the upper quartile of the data set. Find (, and (; for the data set. (b) Find the interquartile range (IQR) of the data set. IOR = (c) Calculate a lower boundary using (), - 1.5. IQR. Calculate an upper boundary using Q, + 1.5. IQR. (Note that 1.5-IQR means 1.5 times the IQR.) Lower boundary: Upper boundary: (d) Any values less than the lower boundary or greater than the upper boundary are considered outliers. Identify all the outliers of the data set. If there is more than one outlier, separate them with commas. If there are no outliers, write "None". Outliers:10. Answer the questions below. (a) The 9 members of a fraternity have the following test scores: 65, 118, 119, 121, 124, 125, 128, 129, 131. Which measure should be used to summarize the data? O Mean O Median O Mode (b) In Prof. Morris's class, the 9 students had the following scores on the last midterm: 126, 127, 128, 129, 130, 136, 137, 138, 141. Which measure should be used to summarize the data? Mean O Median O Mode (c) Each member of the football team was asked to report the year he was born. Which measure gives the most common year of birth? O Mean O Median O Mode11. The test scores of the students in four classes are summarized below. Answer the questions about them. Class A: The range of scores is 31 and the mean score is 112. Class B: The range of scores is 37 and the mean score is 108. Class C: The range of scores is 36 and the mean score is 110. Class D: The range of scores is 32 and the mean score is 105. (a) Based on the information above, which class's scores have the most variability? O Class A O Class B O Class C O Class D (b) Based on the information above, which class has the lowest scores on average? O Class A O Class B O Class C O Class D 12. Mancini's Pizzeria sells four types of pizza crust. Last week, the owner tracked the number sold of each type, and this is what she found. Type of Crust Number Sold Thin crust 306 Thick crust 214 Stuffed crust 158 Pan style 184 Based on this information, of the next 4000 pizzas she sells, how many should she expect to be stuffed crust? Round your answer to the nearest whole number. Do not round any intermediate calculations.13. The scatter plot shows the number of years of experience, x, and the hourly pay rate, y, for each of 25 cashiers in New York. (a) Write an approximate equation of the line of best fit for the data. It doesn't have to be the exact line of best fit. (b) Using your equation from part (a), predict the hourly pay rate for a cashier with 10 years of experience. 22- 20 18- 16- 14- K X Pay 12- in dollars 10- per hour Years of experience (a) Write an approximate equation of the line of best fit. V= (b) Using your equation from part (a), predict the hourly pay rate for a cashier with 10 years of experience.14. Answer the questions below. (a) The 9 members of the swim team completed the following numbers of laps at today's practice: 76, 78, 82, 83, 86, 87, 89, 90, 153. Which measure should be used to summarize the data? O Mean O Median O Mode (b) In a survey, 9 people reported how many soft drinks they drank in the last month. Here are their responses: 29, 30, 31, 32, 34, 35, 36, 37, 39. Which measure should be used to summarize the data? O Mean Median O Mode (c) Frank has recorded his golf score for each round he's played this year. Which measure gives the score he shot the most often? O Mean Median O Mode15. Izzo's Pizza sells four types of pizza crust. Last week, the owner tracked the number sold of each type, and this is what he found. Type of Crust Number Sold Thin crust 318 Thick crust 211 Stuffed crust 164 Pan style 193 Based on this information, of the next 2500 pizzas he sells, how many should he expect to be thick crust or pan style? Round your answer to the nearest whole number. Do not round any intermediate calculations. 16. The weekly salaries (in dollars) for 7 employees of a small business are given below. (Note that these are already ordered from least to greatest.) 635, 684, 730, 818, 830, 863, 1047 Suppose that the $635 salary changes to $509. Answer the following. (a) What happens to the mean? O It decreases by $0 O It increases by $0 O It stays the same. (b) What happens to the median? O It decreases by $0 O It increases by $0 O It stays the same.7. Valentino's Pizzeria sells four types of pizza crust. Last week, the owner tracked the number sold of each type, and this is what he found. Type of Crust Number Sold Thin crust 321 Thick crust 221 Stuffed crust 180 Pan style 182 Based on this information, of the next 3500 pizzas he sells, how many should he expect to be thick crust? Round your answer to the nearest whole number. Do not round any intermediate calculations.B. The ages of the members of four teams are summarized below. Answer the questions about them. Team A: The mean age is 23 and the range of ages is 28. Team B: The mean age is 27 and the range of ages is 19. Team C: The mean age is 22 and the range of ages is 22. Team D: The mean age is 30 and the range of ages is 24. (a) Based on the information above, which team has the oldest members on average? O Team A O Team B O Team C O Team D (b) Based on the information above, which team's ages have the least variability? O Team A O Team B Team C O Team D ". Town officials want to estimate the number of households that own a dog. Answer the following. (a) Which of the following surveys probably would best represent the entire population of households? 20 households within a mile of a park are randomly selected; 9 own a dog. 20 households with a garage are randomly selected; 8 own a dog. 20 households are randomly selected from the town; 7 own a dog. (b) There are 500 households in the town. Using your answer from part (a), estimate the number of households that own a dog. households