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# Jake Soderberg - Homework 2.2 - Statistics With Excel - Dunwoody College of Technology

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## Jake Soderberg - Homework 2.2 - Statistics With Excel - Dunwoody College of TechnologyDocument Transcript

• Jake Soderberg Dunwoody College of Technology QUAL 225 Statistics with Excel Sunday, January 10, 2010 Homework 2.2 Questions 1, 3, 5 and 15, also try Excel page 65 1. Do Students Need Summer Development? Construct a histogram, frequency polygon and ogive for the data Group Frequency Distribution Class low Class high Class limits Class boundaries Class Width 90 98 90-98 89.5 98.5 89.5-98.5 9 99 107 99-107 98.5 107.5 98.5-107.5 9 108 116 108-116 107.5 116.5 107.5-116.5 9 117 125 117-125 116.5 125.5 116.5-125.5 9 126 134 126-134 125.5 134.5 125.5-134.5 Applicants who score above 107 need not enroll in a summer development program How many students do not have to enroll in the developmental program? 80 students (23 (below 107) - 108 (total)) Histogram Bin Frequency Cumulative % Histogram 89.5 0 0.00% 60 Frequency 98.5 6 5.56% 40 107.5 22 25.93% 116.5 43 65.74% 20 125.5 28 91.67% 0 134.5 9 100.00% 89.5 98.5 107.5 116.5 125.5 134.5 More 0 100.00% Entrance Exam Scores (Bin) Frequency Polygon 50 40 Frequency 30 20 10 0 94 103 112 Entrance Exam Scores (Midpoint) Cumulative Frequency Distribution Ogive
• 89.5 Less than 89.5 0 Ogive 98.5 Less than 98.5 6 120 107.5 Less than 107.5 28 Cumulative Frequency 100 116.5 Less than 116.5 71 125.5 Less than 125.5 99 80 134.5 Less than 134.5 108 60 40 20 0 89.5 98.5 107.5 116.5 Entrance Exam Scores (Class Boundaries) 3. Countries, Division, or Parishes for 50 States, create a grouped frequency distribution with 6 classes, a histogram, a frequ 67 27 15 75 58 64 8 102 44 92 99 105 120 64 83 87 82 114 56 93 16 62 100 53 88 77 36 67 95 254 29 14 95 39 55 Group Frequency Distribution Class low Class high Class limits Class boundaries Class Width 3 45 3-45 2.5 45.5 2.5-45.5 43 46 88 46-88 45.5 88.5 45.5-88.5 43 89 131 89-131 88.5 131.5 88.5-131.5 43 132 174 132-174 131.5 174.5 131.5-174.5 43 175 217 175-217 174.5 217.5 174.5-217.5 43 218 260 218-260 217.5 260.5 217.5-260.5 Histogram Bin Frequency Cumulative % Histogram 2.5 0 0.00% 20 45.5 19 38.00% Frequency 15 88.5 17 72.00% 10 131.5 12 96.00% 5 174.5 1 98.00% 0 217.5 0 98.00% 2.5 45.5 88.5 131.5 174.5 217.5 260.5 1 100.00% Number of Counties (Bin) More 0 100.00% Frequency Polygon
• 20 15 Frequency 10 5 0 24 67 110 153 Number of Counties (Midpoint) Cumulative Frequency Distribution 2.5 Less than 2.5 0 Ogive 45.5 Less than 45.5 19 60 88.5 Less than 88.5 36 Cumulative Frequency 131.5 Less than 131.5 48 50 174.5 Less than 174.5 49 40 217.5 Less than 217.5 49 30 260.5 Less than 260.5 50 20 10 0 2.5 45.5 88.5 131.5 Number of Counties (Class Boundaries) 5. Automobile Fuel Efficiency, construct a histogram, a frequency polygon, and an ogive for the data Group Frequency Distribution Class low Class high Class limits Class boundaries Class Width 8 12 8-12 7.5 12.5 7.5-12.5 5 13 17 13-17 12.5 17.5 12.5-17.5 5 18 22 18-22 17.5 22.5 17.5-22.5 5 23 27 23-27 22.5 27.5 22.5-27.5 5 28 32 28-32 27.5 32.5 27.5-32.5 Histogram Bin Frequency Cumulative % Histogram 7.5 0 0.00% 20 12.5 3 10.00% Frequency 15 17.5 5 26.67% 10 5
• Frequency 10 22.5 15 76.67% 5 27.5 5 93.33% 0 32.5 2 100.00% 7.5 12.5 17.5 22.5 More 0 100.00% Automobile Fuel Efficiency (Bin) Frequency Polygon 16 14 12 Frequency 10 8 6 4 2 0 10 15 20 Automobile Fuel Efficiency (Midpoint) Cumulative Frequency Distribution 7.5 Less than 7.5 0 Ogive 12.5 Less than 12.5 3 35 17.5 Less than 17.5 8 Cumulative Frequency 30 22.5 Less than 22.5 23 27.5 Less than 27.5 28 25 32.5 Less than 32.5 30 20 15 10 5 0 7.5 12.5 17.5 Automobile Fuel Efficiency (Class Boundar 15. Cereal Calories, construct a frequency distribution using 7 classes, a histogram, a frequency polygon, and an ogive, usin Describe the shape of the histogram 130 190 140 80 100 120 220 210 130 100 90 210 120 200 190 210 120 200 130 180 260 190 240 80 120 90 190 200 115 210 110 225 190 130
• Group Frequency Distribution Class low Class high Class limits Class boundaries Class Width 80 108 80-108 79.5 108.5 79.5-108.5 29 109 137 109-137 108.5 137.5 108.5-137.5 29 138 166 138-166 137.5 166.5 137.5-166.5 29 167 195 167-195 166.5 195.5 166.5-195.5 29 196 224 196-224 195.5 224.5 195.5-224.5 29 225 253 225-253 224.5 253.5 224.5-253.5 29 254 282 254-282 253.5 282.5 253.5-282.5 Bin Relative Freq Cumulative % 79.5 0 0.00% Histogram 108.5 0.17 17.39% 0.3 Relative Frequency 137.5 0.28 45.65% 0.2 166.5 0.04 50.00% 195.5 0.20 69.57% 0.1 224.5 0.22 91.30% 0 253.5 0.04 95.65% 79.5 108.5 137.5 166.5 195.5 282.5 0.04 100.00% Cereal Calories (Bin) More 0 100.00% Frequency Polygon 0.3 0.25 Relative Frequency 0.2 0.15 0.1 0.05 0 94 123 152 181 Cereal Calories (Midpoint) Cumulative Frequency Distribution Cum Relative Freq 79.5 Less than 79.5 0 0.00 108.5 Less than 108.5 8 0.17 1.20 Cumulative Relative Frequency 137.5 Less than 137.5 28 0.46 1.00 166.5 Less than 166.5 49 0.50 195.5 Less than 195.5 78 0.70 0.80 224.5 Less than 224.5 116 0.91 0.60 253.5 Less than 253.5 155 0.96 0.40 282.5 Less than 282.5 195 1.00 0.20
• Cumulative Relative Fr 0.00 0.20 79.5 108.5
• give for the data Midpoint Frequency Cum Freq 94 6 6 103 22 28 112 43 71 121 28 99 130 9 108 Total 108 w 107) - 108 (total)) 134.5 More cy Polygon 121 130 Exam Scores (Midpoint)
• 116.5 125.5 134.5 m Scores (Class Boundaries) 6 classes, a histogram, a frequency polygon, and an ogive, analyze the distribution 67 159 5 16 23 14 10 21 33 5 46 66 72 23 3 Midpoint Frequency Cum Freq 24 19 19 67 17 36 110 12 48 153 1 49 196 0 49 239 1 50 Total 50 217.5 260.5 More of Counties (Bin) Histogram analysis The distribution is positively skewed cy Polygon
• 153 196 239 of Counties (Midpoint) 174.5 217.5 260.5 Counties (Class Boundaries) Midpoint Frequency Cum Freq 10 3 3 15 5 8 20 15 23 25 5 28 30 2 30 Total 30 ogram
• 27.5 32.5 More bile Fuel Efficiency (Bin) uency Polygon 20 25 30 obile Fuel Efficiency (Midpoint) Ogive 22.5 27.5 32.5 e Fuel Efficiency (Class Boundaries) y polygon, and an ogive, using relative frequencies 220 110 100 120 180 120 270 100 160 210 190 180
• Midpoint Frequency Cum Freq Relative Freq 94 8 8 0.17 123 13 21 0.28 152 2 23 0.04 181 9 32 0.20 210 10 42 0.22 239 2 44 0.04 268 2 46 0.04 Total 46 1.00 Histogram 195.5 224.5 253.5 282.5 More Histogram analysis Cereal Calories (Bin) The histogram has two peaks uency Polygon 210 239 268 Cereal Calories (Midpoint) Ogive
• 137.5 166.5 195.5 224.5 253.5 282.5 Cereal Calories (Class Boundaries)