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1) Lights Out Larry is the all-time leading 3-point shooter for his high school basketball team. One reason is that he is always practicing his 3-point shots. At the end of each practice, he attempts 250 3-point shots before turning the Lights Out and going home. The data below represents the number of shots Lights Out Larry made after each of the 40 practices this past season. 182 174 177 182 171 171 191 178 193 170 178 173 161 163 190 179 179 182 198 186 168 169 188 171 182 177 185 150 175 178 169 159 185 181 162 174 158 170 196 165 a. Construct a relative frequency, and cumulative frequency distributions for the data. Relative Relative frequency Class Cumulative Frequency frequency percentage 7.5% 17.5% widths Frequency 150-159 3 7 160-169 170-179 180-189 3/40 7/40 16/40 9/40 5/40 3/40 10/40 26/40 35/40 40/40 16 40% 22.5% 12.5% 9 190-199 5 b. Construct a histogram for the data. (label axes appropriately) Frequency Frequency 16 15 10 150 160 170 180 190 200 LOL 3 point shots

1) Lights Out Larry is the all-time leading 3-point shooter for his high school basketball team. One reason is that he is always practicing his 3-point shots. At the end of each practice, he attempts 250 3-point shots before turning the Lights Out and going home. The data below represents the number of shots Lights Out Larry made after each of the 40 practices this past season. 182 174 177 182 171 171 191 178 193 170 178 173 161 163 190 179 179 182 198 186 168 169 188 171 182 177 185 150 175 178 169 159 185 181 162 174 158 170 196 165 a. Construct a relative frequency, and cumulative frequency distributions for the data. Relative Relative frequency Class Cumulative Frequency frequency percentage 7.5% 17.5% widths Frequency 150-159 3 7 160-169 170-179 180-189 3/40 7/40 16/40 9/40 5/40 3/40 10/40 26/40 35/40 40/40 16 40% 22.5% 12.5% 9 190-199 5 b. Construct a histogram for the data. (label axes appropriately) Frequency Frequency 16 15 10 150 160 170 180 190 200 LOL 3 point shots

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 23PPS
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c. Is it reasonable to assume that this data is normally distributed? Explain your answer. Yes, this data has normal distribution because it appears to have a bell shape, which means that the majority of the time, Larry made between 170 and 180 3-point shots, with few practice days where he made fewer shots and few practice days where he made lots (close to 200 shots) of shots. 2) There are many different types of hot dogs produced in the U.S. The data to the Beef Poultry right represents the published mean calorie contents of the various brands that Y produce beef hot dogs and the mean calorie contents of various brands that 186 129 produce poultry hot dogs. (Treat these as samples.) 181 132 a. Compute the mean calorie content for each type of hot dog. (beef and 176 102 poultry) 149 106 3137 184 94 Веef, x: = 156.85 = 156.9 20 190 102 158 87 2019 Poultry, y: 17 = 118.76 = 118.8 139 99 175 107 b. Compute the median calorie content for each type of hot dog. (beef and 148 113 poultry) 152 135 111 131 132 135 139 141 148 149 149 152 111 142 141 86 153 157 158 175 176 181 184 186 190 190 153 143 305 190 152 = 152.5 2 152 + 153 = 157 146 Median Beef x = 152.5 131 144 149 86 87 94 99 102 102 106 107 113 129 132 135 142 143 144 146 152 135 Median Poultry y = 113 132 Total 3137 Total 2019 c. Compute the standard deviation for the calorie content for each type of hot dog. (beef and poultry) Standard Deviation Beef: s, = 22.642 Standard deviation Poultry: Sy = 22.55 d. Compute the coefficient of variation for the calorie content for each type of hot dog. (beef and poultry) 22.642 22.55 Beef: CV = * 100 = 14.435% Poultry: CV = * 100 = 18.99% 156.85 118.765 e. Compute the five number summary for the calorie content for each type of hot dog. (beef and poultry) Beef: 111, 140, 152.5, 178.5, 190 Poultry: 86, 100.5, 113, 142.5, 152 f. Compute the interquartile range for calorie content for each type of hot dog. (beef and poultry) Beef: IQR, = Q3 – Q1 = 38.5 Poultry: 1QRY = Q3 – Q1 = 42
Transcribed Image Text:c. Is it reasonable to assume that this data is normally distributed? Explain your answer. Yes, this data has normal distribution because it appears to have a bell shape, which means that the majority of the time, Larry made between 170 and 180 3-point shots, with few practice days where he made fewer shots and few practice days where he made lots (close to 200 shots) of shots. 2) There are many different types of hot dogs produced in the U.S. The data to the Beef Poultry right represents the published mean calorie contents of the various brands that Y produce beef hot dogs and the mean calorie contents of various brands that 186 129 produce poultry hot dogs. (Treat these as samples.) 181 132 a. Compute the mean calorie content for each type of hot dog. (beef and 176 102 poultry) 149 106 3137 184 94 Веef, x: = 156.85 = 156.9 20 190 102 158 87 2019 Poultry, y: 17 = 118.76 = 118.8 139 99 175 107 b. Compute the median calorie content for each type of hot dog. (beef and 148 113 poultry) 152 135 111 131 132 135 139 141 148 149 149 152 111 142 141 86 153 157 158 175 176 181 184 186 190 190 153 143 305 190 152 = 152.5 2 152 + 153 = 157 146 Median Beef x = 152.5 131 144 149 86 87 94 99 102 102 106 107 113 129 132 135 142 143 144 146 152 135 Median Poultry y = 113 132 Total 3137 Total 2019 c. Compute the standard deviation for the calorie content for each type of hot dog. (beef and poultry) Standard Deviation Beef: s, = 22.642 Standard deviation Poultry: Sy = 22.55 d. Compute the coefficient of variation for the calorie content for each type of hot dog. (beef and poultry) 22.642 22.55 Beef: CV = * 100 = 14.435% Poultry: CV = * 100 = 18.99% 156.85 118.765 e. Compute the five number summary for the calorie content for each type of hot dog. (beef and poultry) Beef: 111, 140, 152.5, 178.5, 190 Poultry: 86, 100.5, 113, 142.5, 152 f. Compute the interquartile range for calorie content for each type of hot dog. (beef and poultry) Beef: IQR, = Q3 – Q1 = 38.5 Poultry: 1QRY = Q3 – Q1 = 42
Name_key Lights Out Larry (LOL) 1) Lights Out Larry is the all-time leading 3-point shooter for his high school basketball team. One reason is that he is always practicing his 3-point shots. At the end of each practice, he attempts 250 3-point shots before turning the Lights Out and going home. The data below represents the number of shots Lights Out Larry made after each of the 40 practices this past season. 182 174 177 182 171 171 191 178 193 170 178 173 161 163 190 179 179 182 198 186 168 169 188 171 182 177 185 150 175 178 169 159 185 181 162 174 158 170 196 165 а. Construct a relative frequency, and cumulative frequency distributions for the data. Relative frequency percentage 7.5% 17.5% 40% Relative Class widths Cumulative Frequency frequency Frequency 150-159 3. 3/40 7/40 3/40 10/40 26/40 35/40 40/40 160-169 170-179 16 16/40 9/40 22.5% 12.5% 180-189 9 190-199 5 5/40 b. Construct a histogram for the data. (label axes appropriately) Frequency Frequency 16 15 10 150 160 170 180 190 200 LOL 3 point shots
Transcribed Image Text:Name_key Lights Out Larry (LOL) 1) Lights Out Larry is the all-time leading 3-point shooter for his high school basketball team. One reason is that he is always practicing his 3-point shots. At the end of each practice, he attempts 250 3-point shots before turning the Lights Out and going home. The data below represents the number of shots Lights Out Larry made after each of the 40 practices this past season. 182 174 177 182 171 171 191 178 193 170 178 173 161 163 190 179 179 182 198 186 168 169 188 171 182 177 185 150 175 178 169 159 185 181 162 174 158 170 196 165 а. Construct a relative frequency, and cumulative frequency distributions for the data. Relative frequency percentage 7.5% 17.5% 40% Relative Class widths Cumulative Frequency frequency Frequency 150-159 3. 3/40 7/40 3/40 10/40 26/40 35/40 40/40 160-169 170-179 16 16/40 9/40 22.5% 12.5% 180-189 9 190-199 5 5/40 b. Construct a histogram for the data. (label axes appropriately) Frequency Frequency 16 15 10 150 160 170 180 190 200 LOL 3 point shots
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