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Provide an appropriate response. Round relative frequencies to thousandths. 1 The preschool children at Elmwood Elementary School were asked to name their favorite color. The results are listed below. Construct a frequency distribution and a relative frequency distribution. blue blue purple yellow green green green blue green purple green purple yellow yellow yellow purple green yellow green red Fill in the following table Color Frequency Relative Frequency blue purple yellow green red 2 Construct the specified histogram. A random sample of 30 high school students is selected. Each student is asked how much time he or she spent on the Internet during the previous week. The following times (in hours) are recorded: 6148118687511 9 7 7 6 9 8 5 5 10 7 571496106987 Construct a frequency histogram for this data. Select one: True False 3 Provide an appropriate response. Use the following frequency distribution to answer the following matching questions. Class Frequency 9-15 5 16-22 9 23-29 6 30-36 3 37-43 7 44-50 4 What is the lower class limit of the first class? How many classes are in the frequency distribution? Choose.. What is the class width of the frequency distribution? Choose. What is the lower class limit of the first class? Choose. What is the upper class limit of the first class? Choose. What is the frequency for the fourth class? Choose.. The bar graph shows the number of tickets sold each week by the garden club for their annual flower show. 4 Number of Tickets Sold Each Week 60 50 40 30 20 10 1 2 3 4 5 6 Week Approximately how many tickets were sold during week 6? tickets During which week was the fewest number of tickets sold? During which week was the most number of tickets sold? 5 The following double-bar graph illustrates the revenue for a company for the four quarters of the year for two different years. Use the graph to answer the question. 60 55 50 45 40 35 30 25 20 15 10 5 1st 2nd 3rd 4th Quarter Year 1 Year 2 In what quarter was the revenue the least for Year 1? In what quarter was the revenue the greatest for Year 1? What was the revenue for the second quarter of Year 2? million 6 Construct a pie chart for the data. Label each category with its percentage. A study was conducted to determine how people get jobs. Four hundred subjects were randomly selected and the results are listed below. Round percents to whole numbers. Job Sources of Survey Respondents Frequency Newspaper want ads 72 Online services 124 Executive search firms 69 Mailings 32 Networking 103 Select one: True False 7 Provide an appropriate response. What is the difference between a bar chart and a histogram? Select one: a. The bars in a bar chart may be of various widths while the bars of a histogram are all the same width. b. The bars in a bar chart are all the same width while the bars of a histogram may be of various widths. C. There is no difference between these two graphical displays. d. The bars on a bar chart do not touch while the bars of a histogram do touch. Question 8 Provide an appropriate response. For the stem-and-leaf plot below, what are the maximum and minimum entries? 11 34 1) 666789 2 0112344566 177788999 3/011234455 3| 66678899 4| 13 Select one: a. max: 41; min: 13 b. max: 43; min: 13 C. max: 47; min: 14 d. max: 38; min: 7 Question 9 Construct a dot plot for the data. The local police, using radar, checked the speeds (in mph) of 30 motorists at a busy intersection. The results are listed below. Construct a dot plot for the data. 44 38 41 50 36 36 43 42 49 48 35 40 37 41 43 50 45 45 39 38 50 41 47 36 35 40 42 43 48 33 Select one: True False Question 10 Explain what is misleading about the graphic. The volume of our sales has doubled!!! Select one: a. The length of a side has doubled, but the area has been multiplied by 8. b. The length of a side has doubled, but the area has been unchanged. C. The length of a side has doubled, but the area has been multiplied by 4. d. The graphic is not misleading. Question 11 Provide an appropriate response. The following graph shows the number of car accidents occurring in one city in each of the years 2006 through 2011 (Year 1 = 2006, Year 2 = 2007 etc). The number of accidents dropped in 2008 after a new speed limit was imposed. How is the bar graph misleading? Number of accidents 120 110 100 90 30 70 60 1 2 3 4 5 6 Year Select one: a. The bar graph is misleading because the vertical axis starts at 60 instead of 0. This tends to indicate that the number of accidents decreased at a faster rate than they actually did. b. The graph is the wrong choice for the type of data being displayed. C. This is a histogram, so there should be no spaces. Question 12 Provide an appropriate response. Find the mean, median, and mode of the following statistic students' test scores: 96 99 92 96 89 97 96 90 91 94 mean: median: mode: Question 13 Provide an appropriate response. The high temperatures (in degrees Celsius) each day over a three week period were as follows: 17, 18, 20, 22, 21, 19, 16, 15, 18, 20, 21, 21, 22, 21, 19, 20, 19, 17, 16, 16, 17. Compute the mean, median, and mode. mean: "C median: °C mode: °C Question 14 Provide an appropriate response. In a sample of 18 students at East High School the following number of days of absences were recorded for the previous semester: 4, 3, 1, 0, 4, 2, 3. 0, 1, 2, 3, 0, 4, 1. 1, 5, 1, 1. Compute the mean, median, and mode. mean: day(s) median: day(s) mode: day(s) Question 15 Provide an appropriate response. A severe drought affected several western states for 3 years. A Christmas tree farmer is worried about the drought's effect on the size of his trees. To decide whether the growth of the trees has been retarded, the farmer decides to take a sample of the heights of 25 trees and obtains the following results (recorded in inches): 60 57 62 69 46 54 64 60 59 98 79 51 40 67 60 44 se 95 48 is 63 73 52 65 50 Which measure of central tendency would be considered the best measure to use in this problem? Select one: a. median b. mean C. range d. mode Question 16 Provide an appropriate response. The annual profits of five large corporations in a certain area are given below. Which measure of central tendency should be used? $209,000 $217,000 $237,000 $207,000 $1,287,000 Select one: a. mode b. midrange C. mean d. median Question 17 Provide an appropriate response. The following data represent a random sample of 15 complaints registered with the customer service department of a store. Determine the mode complaint. messy other nade personnel waiting time messy atore excensive wailing defective penduct excessive waiting time waiting time excersive waiting timer other messy excessive waiting time Select one: a. no mode b. messy store C. rude personnel d. excessive waiting time Questian 18 Provide an appropriate response. The of a variable is computed by determining the sum of all the values of the variable in the data set and dividing this sum by the number of observations in the data set. Select one: a. Mode b. Arithmetic mean C. Geometric mean d. Median Question 19 Provide an appropriate response. The following data represents a random sample of 15 complaints registered with the customer service department of a store. Determine the median complaint. Other defective excessive waiting time Mexsy stome other other Messy other minay share Other abore store Defective preduct other masay stare Select one: a. Messy store b. Defective product c. Excessive waiting time d. No median Question 20 Provide an appropriate response. Which measure of central tendency is not resistant to extreme values in a numerie data set? Select one: a. Parameters b. Median C. Mode d. Mean Question 21 Provide an appropriate response. Which measure of central tendency may not exist for all numeric data sets? Select one: a. Median b. Midrange c. Mean d. Mode Question 22 Provide an appropriate response. The median of a data set for a variable is the data value that Select one: a. None of these b. Appears the most often C. Lies in the middle of the data when the data is arranged in ascending order. d. Is the average, that is. the sum of all the data values of the variable divided by the number of observations in the data set? Question 23 Provide an appropriate response. Round to two decimal places. The grades are given for a student for a particular term. Find the grade point average (expected value). The point values of grades are given below. A 4, B 3, C: 2, D : 1, F 0 Grade Credit Hours F 2 C 3 A 1 B 4 C 2 Answer: Question 24 Provide an appropriate response. The costs (in dollars) of 10 college math textbooks are listed below. Find the population standard deviation and the population variance. 70, 72, 71, 70, 69, 73, 69, 68, 70, 71 population standard deviation: population variance: Question 25 Provide an appropriate response. In a random sample, 10 employees at a local plant were asked to compute the distance they travel to work to the nearest tenth of a mile. The data is listed below. Compute the range, sample standard deviation and sample variance of the data. 1.1 5.2 3.6 5.0 4.8 1.8 2.2 5.2 1.5 0.8 range: sample standard deviation sample variance: Question 26 Provide an appropriate response. The costs (in dollars) of 10 college math texthooks are listed below. Find the sample standard deviation. 26 72 71 70 69 73 69 68 70 71 Select one: a. $1.49 b. $5.00 c. $2.23 d. $70.30 Question 27 Provide an appropriate response. The top speeds (in mph) for a sample of five new automobile brands are listed below. Calculate the standard deviation of the speeds. 155, 130, 195, 180, 110 Select one: a. 34.9 mph b. 154.00 mph c. 26,873.00 mph d. 85 mph Question 28 Provide an appropriate response. Which is not a measure of dispersion? Select one: a. Variance b. Mean c. Range d. Standard deviation Question 29 Provide an appropriate response. True or False: The variance of a population is the arithmetic average of the squared deviations about the population mean Select one: a. True b. False Question 30 Provide an appropriate response. True or False: Variance is the square root of standard deviation Select one: a. True b. False Question 31 Provide an appropriate response. A statistic is said to be biased if it Select one: a. Is determined from a trimmed sample b. Leads to an erroneous conclusion about the sample c. Has exactly the same value as the parameter d. Systematically underestimates or overestimates a parameter Question 32 Provide an appropriate response. The following is a sample of 19 November utility bills (in dollars) from a neighborhood: 88, 92, 96. Find the five-number summary. Min: Q1: Median: Q3: Max: Question 33 Provide an appropriate response. Eleven high school teachers were asked to give the numbers of students in their classes. The sample data follows: 36, 31, 30, 31, 20, 19, 24, 34, 21, 28, 24. Find the five-number summary. Min: Q1: Median: Q3: Max: Question 34 Provide an appropriate response. SAS was used to compare the high school dropout rates for the 30 school districts in one city in 2010 and 2012. The box plots generated for these dropout rates are shown below. Compare the center of the distributions and the variation of the distributions for the two years. 49.25 Variable-RATE - - 36.9376 24.625 12,3125 o YEAR 2010 2012 Select one: a. Dropout rates had a higher average with more variability in 2010 than in 2012. b. Dropout rates had a lower average with less variability in 2010 than in 2012. c. Dropout rates had a lower average with more variability in 2010 than in 2012. d. Dropout rates had a higher average with less variability in 2010 than in 2012.

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