Math Take Home Quiz on Chapter 2

Transcription

1 Math Take Home Quiz on Chapter 2 Show the calculations that lead to the answer. Due date: Tuesday June 6th Name Time your class meets Provide an appropriate response. 1) A newspaper surveyed its subscribers as to which section of the paper they read first. The results are listed below. 1) Section Percent Front page 18.3 Sports 25.2 Business 13.9 Comics 22.1 Horoscope 13.1 What percent of subscribers read a section of the paper not listed above first? Solve the problem. 2) A survey of patients at a hospital classified the patients by gender and blood type, as seen in the table. 2) Blood type Gender Male Female A B O AB What percent of all patients are male? Round your answer to the nearest tenth of a percent. 3) A survey of patients at a hospital classified the patients by gender and blood type, as seen in the table. 3) Blood type Gender Male Female A B O AB What percent of the patients with type-b blood are male? Round your answer to the nearest tenth of a percent. 1

2 Construct a pie chart from the data, using percentages. 4) 900 movie critics rated a movie. The frequency table gives the distribution of ratings. 4) Rating Number Excellent 180 Good 450 Fair 270 Construct a bar chart from the relative frequency table. Express each percentage as a number between 0 and 1. 5) The table gives the distribution of blood types for 50 patients at a hospital. Type Number % O A B 6 12 AB 3 6 5) Provide an appropriate response. 6) Suppose that you want to construct a pie chart to represent the following data. 6) Blood Type No. of people O 90 A 84 B 18 AB 8 Explain how you would calculate the angle for the pie-shaped piece corresponding to the number of people with blood type O. Would you expect a distribution of the variable to be uniform, unimodal, or bimodal? Explain why. 7) Heights of a group of professional athletes, half of whom are gymnasts and half of whom are basketball players 7) 8) Ages of high school students 8) 9) Number of times a coin comes up heads in trials of 50 tosses 9) 2

3 Provide an appropriate response. 10) A television manufacturer sold three times as many televisions in 1995 as it did in To illustrate this fact, the manufacturer used the display below. The television on the right is both three times as tall and three times as wide as the television on the left. 10) Why is this display misleading? What principle does it violate? Create a stem-and-leaf display of the data. 11) The attendance counts for this season's basketball games are listed below. 11) Create a dotplot of the data. 12) Attendance records for a class show the number of days each student was absent during the year. 12)

4 Create the specified display. 13) The days off that 30 police detectives took in a given year are provided below. Create a frequency distribution with 6 classes. Show how you calculate the class width. Construct the corresponding histogram of the data. 13) Show how you find the mean of the data. 14) Here are the grocery bills, in dollars, for six shoppers. 14) $75.83 $69.04 $70.61 $66.35 $84.80 $40.90 Round your answer to the nearest cent. Show how you find the median of the data. 15) A new business had the following monthly revenues, in dollars. 15) Show how you find the standard deviation for the given data, using the defining formula. 16) Here are the prices for 5 different CD players: 16) $410 $243 $204 $170 $177 4

5 Use the calculator to find the mean, standard deviation, the five number summary, and the interquartile range for the given data. 17) Here are the test scores of 32 students: ) Use summary statistics to answer the question. 18) Here are the summary statistics for the monthly payroll for an accounting firm: lowest salary = $30,000, mean salary = $70,000, median = $50,000, range = $120,000, IQR = $60,000, first quartile = $35,000, standard deviation = $40, ) Do you think the distribution of salaries is symmetric, skewed to the left, or skewed to the right? Explain why. 5

6 Two statistics classes (50 students each) took the same test. Shown below are histograms of the scores for the classes. Use the histograms to answer the question. 19) Which class had the higher mean score? 19) 20) Which class had the higher median score? 20) 21) Which class has the smaller standard deviation? 21) Provide the appropriate response. 22) Do men and women run a 5 kilometer race at the same pace? Here are boxplots of the time (in minutes) for a race recently run in Chicago. Explain what the data show. 22) 23) Describe what these boxplots tell you about the relationship between the state you live in and your salary, based on the same occupation. 23) 6