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ch02 - Ch. 2 Organizing and Summarizing Data 2.1 Organizing...

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Unformatted text preview: Ch. 2 Organizing and Summarizing Data 2.1 Organizing Qualitative Data 1 Organize Qualitative Data in Tables SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question. 1) Scott Tarnowski owns a pet grooming shop. His prices for grooming dogs are based on the size of the dog. His records from last year are summarized below. Class Large Medium Small Frequency 345 830 645 Construct a frequency table including relative frequencies and percentages. 2) The results of a survey about a recent judicial appointment are given in the table below. Response Frequency Strongly Favor 19 Favor 28 Neutral 10 Oppose 25 Strongly Oppose 118 Construct a relative frequency distribution. 3) The preschool children at Elmwood Elementary School were asked to name their favorite color. The results are listed below. green green blue purple red red red green red blue red blue purple purple purple blue red purple red yellow Construct a frequency distribution and a relative frequency distribution. MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. 4) True or False: The sum of all the relative frequencies of a distribution will always add up to 1. A) False B) True Page 19 2 Construct Bar Graphs MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. The bar graph shows the number of tickets sold each week by the garden club for their annual flower show. 1) During which week was the most number of tickets sold? A) Week 4 B) Week 5 C) Week 2 D) Week 1 2) During which week was the fewest number of tickets sold? A) Week 2 B) Week 4 C) Week 6 D) Week 5 3) How many tickets were sold during week 4? A) 59 tickets B) 40 tickets C) 19 tickets D) 46 tickets Page 20 4) The 1995 payroll amounts for all major - league baseball teams are shown below. Answer the following question concerning this graph. What percentage of the payrolls were in the $20 - 30 million range? A) 10% 5) B) 38% C) 59% D) 30% Retailers are always interested in determining why a customer selected their store to make a purchase. A sporting goods retailer conducted a customer survey to determine why its customers shopped at the store. The results are shown here. What percentage of the customers responded that the merchandise was the reason they shopped at the store? A) 43% B) 30% C) 50% D) 29% Page 21 6) The bar graph below shows the political party affiliation of 1,000 registered U.S. voters. What percentage of the 1,000 registered U.S. voters belonged to one of the traditional two parties (Democratic and Republican)? A) 75% B) 40% C) 35% D) 25% The Excel frequency bar graph below describes the employment status of a random sample of U.S. adults. Use the bar graph to answer the question. 7) What is the percentage of those having no job? A) 15% B) 20% C) 40% D) cannot determine Page 22 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. 8) In what quarter was the revenue the greatest for 2000? A) fourth quarter B) first quarter C) second quarter D) third quarter 9) In what quarter was the revenue the least for 1999? A) second quarter B) first quarter C) fourth quarter D) third quarter 10) What was the revenue for the first quarter of 1999? A) $35 million B) $7 million C) $20 million D) $4 million SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question. 11) The grade point averages for 40 students are listed below. Construct a frequency bar graph and a relative frequency bar graph. 2.0 3.1 2.2 3.0 3.2 2.4 2.2 4.0 1.8 2.4 1.7 4.0 2.9 2.3 0.5 2.1 0.9 1.6 3.6 1.9 4.0 1.6 3.4 1.1 3.3 4.0 1.9 0.5 2.9 3.1 2.0 3.2 3.6 3.2 3.0 3.0 0.8 1.8 1.1 2.2 12) The Highway Patrol, using radar, checked the speeds (in mph) of 30 passing motorists at a checkpoint. The results are listed below. Construct a frequency bar graph and a relative frequency bar graph. 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 Page 23 13) Listed below are the ACT scores of 40 randomly selected students at a major university. 18 16 26 19 22 25 26 19 13 14 25 14 15 19 25 24 24 21 19 20 24 23 17 21 20 25 18 23 19 18 15 22 19 18 13 19 12 13 21 17 a) Construct a relative frequency bar graph of the data, using eight classes. b) If the university wants to accept the top 90% of the applicants, what should the minimum score be? c) If the university sets the minimum score at 17, what percent of the applicants will be accepted? MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. 14) Given the bar graph shown below, the Pareto chart that would best represent the data should have the bars in the following order. A) D A E C F B B) B F C E A D C) C A D E F B D) B F E D A C Page 24 3 Construct Pie Charts MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. The circle graph shows the results of the student council presidential election. 1) Student Council President Ben 22% Gina 35% Matt 26% Ted 17% 300 total votes The circle graph shows what percent of the vote each person received. Who got the most votes? A) Gina 2) Student Council President B) Matt C) Ben D) Ted Gina 22% Ben 32% Ming 27% Ted 19% 500 total votes The circle graph shows what percent of the vote each person received. Who got the fewest votes? A) Ted B) Ming C) Gina D) Ben Page 25 3) Student Council President Ming 22% Ben 36% Lili 24% Ann 18% 200 total votes The circle graph shows what percent of the vote each person received. What percent of the votes did Ann and Ming receive together? A) 40% B) 60% C) 18% D) 22% SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question. 4) A study was conducted to determine how people get jobs. Four hundred subjects were randomly selected and the results are listed below. Job Sources of Survey Respondents Frequency Newspaper want ads 72 Online services 124 Executive search firms 69 Mailings 32 Networking 103 Construct a pie chart of the data. 5) Scott Tarnowski owns a pet grooming shop. His prices for grooming dogs are based on the size of the dog. His records from last year are summarized below. Class Large Medium Small Frequency 345 830 645 Portray the data in a pie chart using the class percentages. MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. 6) A 1- pound bag of Skittles contained 100 Red, 83 Green, 93 Orange, 80 Yellow, and 79 Purple colored Skittles. To create a pie chart of this data the angle for the slice representing each color must be computed. What is the degree measure of the slice representing the green Skittles rounded to the nearest degree? A) 69° B) 19° C) 5° D) 52° Page 26 2.2 Organizing Quantitative Data: The Popular Displays 1 Organize Discrete Data in Tables SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question. 1) A random sample of 30 high school students is selected. Each student is asked how much time he or she spent watching television during the previous week. The following times (in hours) are obtained: 11, 19, 13, 16, 13, 11, 13, 12, 10, 16, 14, 12, 12, 11, 14, 13, 10, 10, 15, 12, 10, 12, 19, 14, 11, 15, 11, 14, 13, 12 Construct a frequency distribution for the data. 2) A sample of 25 homework scores is taken and is recorded below. Construct a frequency distribution for this data. 97, 96, 96, 95, 96, 99, 97, 97, 100, 99, 95, 98, 95, 96, 100, 95, 98, 96, 96, 100, 95, 97, 99, 97, 98 2 Construct Histograms of Discrete Data SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question. 1) A random sample of 30 high school students is selected. Each student is asked how much time he or she spent watching television during the previous week. The following times (in hours) are obtained: 6, 14, 8, 11, 8, 6, 8, 7, 5, 11, 9, 7, 7, 6, 9, 8, 5, 5, 10, 7, 5, 7, 14, 9, 6, 10, 6, 9, 8, 7 2) A sample of 25 homework scores is taken and is recorded below. Construct a frequency distribution for this data. 97, 96, 96, 95, 96, 99, 97, 97, 100, 99, 95, 98, 95, 96, 100, 95, 98, 96, 96, 100, 95, 97, 99, 97, 98 3 Organize Continuous Data in Tables SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question. 1) The grade point averages for 40 students are listed below. Construct a frequency distribution and a relative frequency distribution using eight classes. 2.0 3.1 2.2 3.0 3.2 2.4 2.2 4.0 1.8 2.4 1.7 4.0 2.9 2.3 0.5 2.1 0.9 1.6 3.6 1.9 4.0 1.6 3.4 1.1 3.3 4.0 1.9 0.5 2.9 3.1 2.0 3.2 3.6 3.2 3.0 3.0 0.8 1.8 1.1 2.2 Page 27 2) The heights (in inches) of 30 adult males are listed below. Construct a frequency distribution and a relative frequency distribution using five classes. 70 72 71 70 69 73 69 68 70 71 67 71 70 74 69 68 71 71 71 72 69 71 68 67 73 74 70 71 69 68 3) The Highway Patrol, using radar, checked the speeds (in mph) of 30 passing motorists at a checkpoint. The results are listed below. Construct a frequency distribution and a relative frequency distribution using six classes. 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 4) A sample of 15 eighth grade students was selected and their weights were recorded as follows: 97 120 137 124 117 108 134 126 123 106 130 110 110 120 140 a. Using a class interval width of 10, give the upper and lower boundaries for five class intervals, where the lower boundary of the first class is 95. b. Construct a frequency distribution for the data MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. 5) The class width is the difference between A) Two successive lower class limits B) The high and the low data values C) The upper class limit and the lower class limit of a class D) The largest frequency and the smallest frequency 6) The table below summarizes of the weights of Skittles (in grams) for the Skittles in a one pound bag. What is the class width of the classes? Weight 0.7585 - 0.8184 0.8185- 0.8784 0.8785- 0.9384 0.9385- 0.9984 0.9985- 1.0584 1.0858- 1.1184 1.1185- 1.1784 A) 0.06 Frequency 1 1 1 3 157 171 8 B) 0.059 C) 0.408 D) 0.4 Page 28 4 Construct Histograms of Continuous Data SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question. 1) For the data below, construct a frequency distribution and a relative frequency distribution. Height (in inches) Frequency 50 - 52 5 53 - 55 8 56 - 58 12 59 - 61 13 62 - 64 11 2) For the data below, construct a frequency distribution and a relative frequency distribution. Weight (in pounds) Frequency 135 - 139 6 140 - 144 4 145 - 149 11 150 - 154 15 155 - 159 8 3) The heights (in inches) of 30 adult males are listed below. Construct a frequency distribution using five classes. 70 72 71 70 69 73 69 68 70 71 67 71 70 74 69 68 71 71 71 72 69 71 68 67 73 74 70 71 69 68 4) The heights (in inches) of 30 adult males are listed below. Construct a relative frequency distribution using five classes. 70 72 71 70 69 73 69 68 70 71 67 71 70 74 69 68 71 71 71 72 69 71 68 67 73 74 70 71 69 68 5) A sample of 15 eighth grade students was selected and their weights were recorded as follows: 97 108 130 120 134 110 137 126 100 124 123 120 117 106 140 Construct a frequency histogram for the data using a class interval width of 10 and the lower boundary of the first class is 95. Page 29 MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. 6) What is the difference between a bar chart and a histogram? A) The bars on a bar chart do not touch while the bars of a histogram do touch. B) The bars in a bar chart may be of various widths while the bars of a histogram are all the same width. C) The bars in a bar chart are all the same width while the bars of a histogram may be of various widths. D) There is no difference between these two graphical displays. 5 Draw Stem-and -Leaf Plots MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. 1) For the stem - and- leaf plot below, what is the maximum and what is the minimum entry? 1 1 2 2 3 3 4 0 9 6 6 6 7 8 9 0 1 1 2 3 4 4 5 6 6 7 7 7 8 8 9 9 9 0 1 1 2 3 4 4 5 5 6 6 6 7 8 8 9 9 1 3 A) max: 43; min: 10 B) max: 38; min: 7 C) max: 47; min: 19 D) max: 41; min: 10 SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question. 2) The number of home runs that Mark McGwire hit in the first 13 years of his major league baseball career are listed below. (Source: Major League Handbook) 3 49 32 33 39 22 42 9 9 39 52 58 70 Make a stem- and- leaf plot for this data. 3) The numbers of runs batted in by Mark McLemore in the first 13 years of his major league baseball career are listed below. (Source: Major League Handbook) 0 102 56 25 9 9 56 165 88 122 150 91 114 Make a stem- and- leaf plot for this data. 4) The heights (in inches) of 30 adult males are listed below. Construct a stem - and- leaf chart for the data. 70 72 71 70 69 73 69 68 70 71 67 71 70 74 69 68 71 71 71 72 69 71 68 67 73 74 70 71 69 68 Page 30 5) The Highway Patrol, using radar, checked the speeds (in mph) of 30 passing motorists at a checkpoint. The results are listed below. Construct a stem - and- leaf 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 6) The scores for a statistics test are as follows: 87 76 96 77 92 98 88 85 66 89 79 94 51 97 83 88 82 58 14 69 Create a stem- and- leaf display for the data. 7) A sample of 15 eighth grade students was selected and their weights were recorded as follows: 97 108 130 120 134 110 137 126 100 124 123 120 117 106 140 Construct a frequency histogram for the data. 6 Draw Dot Plots SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question. 1) The Highway Patrol, using radar, checked the speeds (in mph) of 30 passing motorists at a checkpoint. 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 54 39 38 50 41 47 36 35 40 42 43 48 33 2) The heights (in inches) of 30 adult males are listed below. Construct a dot plot for the data. 70 72 71 70 69 73 69 68 70 71 67 71 70 74 69 68 71 71 71 72 69 71 68 67 73 74 70 71 69 68 7 Identify the Shape of a Distribution MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. 1) For the data below, construct a frequency distribution using five classes. Describe the shape of the distribution. The data set: Pick Three Lottery Outcomes for 10 Consecutive Weeks 3 6 7 6 0 6 1 7 8 4 1 5 7 5 9 1 5 3 9 9 2 2 3 0 8 8 4 0 2 4 A) uniform C) skewed to the left B) symmetric D) skewed to the right Page 31 2) For the data below, construct a frequency distribution using five classes. Describe the shape of the distribution. The data set: ages of 20 cars randomly selected in a student parking lot 12 6 4 9 11 1 7 8 9 8 9 13 5 15 7 6 8 8 2 1 A) symmetric C) skewed to the left B) uniform D) skewed to the right 3) For the data below, construct a frequency distribution using five classes. Describe the shape of the distribution. The data set: systolic blood pressures of 20 randomly selected patients at a blood bank 135 120 115 132 136 124 119 145 98 110 125 120 115 130 140 105 116 121 125 108 A) symmetric C) skewed to the left 4) Describe the shape of the distribution. B) uniform D) skewed to the right A) skewed to the right C) uniform 5) Describe the shape of the distribution. B) skewed to the left D) symmetric A) skewed to the left C) uniform B) skewed to the right D) symmetric Page 32 Use the histograms shown to answer the question. 6) Is either histogram symmetric? A) Neither is symmetric. B) The first is symmetric, but the second is not symmetric. C) The second is symmetric, but the first is not symmetric. D) Both are symmetric. SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question. 7) A sample of 15 eighth grade students was selected and their weights were recorded as follows: 97 108 130 120 134 110 137 126 100 124 123 120 117 106 140 Describe the shape of the distribution. 8 Draw Time -Series Graphs SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question. 1) The data below represent the consumption of coffee (in gallons) by adult Americans over a nine - year period. Use a time series chart to display the data. Comment on the trend. Year 1985 1986 1987 1988 1989 1990 1991 1992 1993 Coffee Consumption 10 11 11 12 13 14 15 15 13 Page 33 2) A transportation engineer wishes to use the following data to illustrate the number of deaths from the collision of passenger cars with trucks on a particular highway. Use a time series chart to display the data. Comment on the trend. Year Number of Deaths 1930 12 1940 17 1950 22 1960 21 1970 16 1980 13 1990 11 3) Women were allowed to enter the Boston Marathon for the first time in 1972. Listed below are the winning womenʹs times (in minutes) for the first 10 years. Use a time series chart to display the data. Comment on the trend. Year 1972 1973 1974 1975 1976 1977 1978 1979 1980 1981 Time 190 186 167 162 167 168 165 155 154 147 2.3 Graphical Misrepresentations of Data 1 Describe What Can Make a Graph Misleading or Deceptive MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Explain what is misleading about the graphic. 1) The volume of our sales has doubled!!! A) The length of a side has doubled, but the area has been multiplied by 4. B) The length of a side has doubled, but the area has been multiplied by 8. C) The length of a side has doubled, but the area has been unchanged. D) The graphic is not misleading. Page 34 2) A) The vertical scale does not begin at zero. C) The trend is depicted in the wrong direction. 3) B) The horizontal label is incomplete. D) The graphic is not misleading. A) The graphic may give the impression that drivers over age 65 had no DUIʹs in 2001. B) The graphic only includes information for one year. C) The horizontal scale does not begin at zero. D) The graphic is not misleading. Page 35 Ch. 2 Organizing and Summarizing Data Answer Key 2.1 Organizing Qualitative Data 1 Organize Qualitative Data in Tables Frequency Relative Frequency Percentage 1) Class Large 345 .190 19.0 Medium 830 .456 45.6 645 .354 35.4 Small Total 1820 1.000 100.0 2) Response Frequency Relative Frequency Strongly Favor 19 0.095 Favor 28 0.14 Neutral 10 0.05 Oppose 25 0.125 Strongly Oppose 118 0.59 3) Color Frequency Relative Frequency green 3 0.15 blue 4 0.20 purple 5 0.25 red 7 0.35 yellow 1 0.05 4) A 2 Construct Bar Graphs 1) A 2) A 3) A 4) A 5) A 6) A 7) A 8) A 9) A 10) A 11) Page 36 12) 13) a) See graph below b) The minimum score = 14 c) The university will accept 76.57% of the applicants. 14) A 3 Construct Pie Charts 1) A 2) A 3) A 4) Page 37 5) 6) A 2.2 Organizing Quantitative Data: The Popular Displays 1 Organize Discrete Data in Tables 1) Hours Number of of TV HS Students 10 4 11 5 12 6 13 5 14 4 15 2 16 2 19 2 2) Measure Frequency 95 5 96 6 97 5 98 3 99 3 100 3 2 Construct Histograms of Discrete Data 1) Page 38 2) 3 Organize Continuous Data in Tables 1) GPA Frequency Relative Frequency 0.5 - 0.9 4 0.10 1.0- 1.4 2 0.05 1.5- 1.9 7 0.175 2.0- 2.4 9 0.225 2.5- 2.9 2 0.05 3.0- 3.4 10 0.25 3.5- 3.9 2 0.05 4.0- 4.4 4 0.10 2) Height (in inches) Frequency Relative Frequency 67.0- 68.4 6 0.20 68.5- 69.9 5 0.167 70.0- 71.4 13 0.433 71.5- 72.9 2 0.067 73.0- 74.4 4 0.133 3) Speed (in mph) Frequency Relative Frequency 33- 35 3 0.10 36- 38 6 0.20 39- 41 6 0.20 42- 44 6 0.20 45- 47 3 0.10 48- 50 6 0.20 4) a. 95- 104, 105 - 114, 115 - 124, 125 - 134, 135 - 144 b. Tally Frequency 95- 104 ll 2 105 - 114 lll 3 115 - 124 lllll 5 125 - 134 lll 3 135 - 144 ll 2 5) A 6) A Page 39 4 Construct Histograms of Continuous Data 1) 2) 3) Page 40 4) 5) 6) A 5 Draw Stem-and -Leaf Plots 1) A 2) 0 3 9 9 1 2 2 3 2 3 9 9 4 2 9 5 2 8 6 7 0 Page 41 3) 0 1 2 3 4 5 7 8 9 10 11 12 13 14 15 16 4) 6 7 7 8 8 8 8 9 9 9 9 9 7 0 0 0 0 0 1 1 1 1 1 1 1 1 2 2 3 3 4 4 5) 3 3 5 5 6 6 6 7 8 8 9 4 0 0 1 1 1 2 2 3 3 3 4 5 5 7 8 8 9 5 0 0 0 6) The stem will consist of the tens digit and range from 1 to 9. The leaves will be drawn in the appropriate stems based on the data values. Stem 1 2 3 4 5 6 7 8 9 7) Leaves 4 0 9 9 5 6 6 8 1 2 4 2 0 5 1 8 6 9 6 7 9 7 8 5 9 3 8 2 6 2 8 4 7 Page 42 6 Draw Dot Plots 1) 2) 7 Identify the Shape of a Distribution 1) A 2) A 3) A 4) A 5) A 6) A 7) symmetric Page 43 8 Draw Time -Series Graphs 1) In general, there is an increasing trend in the coffee consumption of adult Americans. However, beginning in 1993, there is sign of a decreasing trend. 2) From 1930 to 1950, there was an increasing trend in the number of collisions deaths. Subsequently, there was a decreasing trend. Page 44 3) In general, there was a decreasing trend in womenʹs Boston marathon times. 2.3 Graphical Misrepresentations of Data 1 Describe What Can Make a Graph Misleading or Deceptive 1) A 2) A 3) A Page 45 ...
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This note was uploaded on 06/06/2010 for the course EC 11 taught by Professor All during the Spring '10 term at UCLA.

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