301_HWK1__Graphical_and_numerical_summaries_SP_22

Stat 301 Spring 2022 (b) Would it be appropriate to show this graph as a pie chart? 5. With all the described situations below, decide what graph or graphs would be the most appropriate. Your choices for appropriate graphs include Dot plot, Stem and Leaf Plot, Histogram, Bar chart, Pie chart, boxplot.(I put in parenthesis how many graphs I am looking for) (a) Maximum temperature in degrees Fahrenheit of 7 days in Madison randomly chosen throughout the year (2) (b) Colors of 100 gummy bears in a bag (2) (c) 1,000 people categorized as employed or not employed in WI (2) (d) Number of licks it takes to get to the center of a Tootsie pop gathered from 800 adults (2) (e) Scores from 30 students on a 5 point multiple choice quiz (whole points only) (2) 6. Calculate the standard deviation by hand for the number of siblings reported by a sample of students in a summer school course using the sample formula and show your work. (Keep at least three decimal places in intermediate steps) Number of Siblings 0 1 2 3 4 Number of Students Reporting 5 7 3 2 1 7. You are interested in knowing about the weight distribution of the Green Bay Packers football team. The 2017 team roster gives the weights of each of the players. You can find all the weights (in lbs) below: 188 , 188 , 189 , 192 , 195 , 195 , 196 , 197 , 200 , 200 , 201 , 202 , 207 , 208 , 209 , 211 , 211 , 212 , 215 , 216 , 216 , 217 , 218 , 219 , 220 , 225 , 226 , 227 , 232 , 234 , 237 , 240 , 245 , 245 , 245 , 246 , 252 , 254 , 255 , 255 , 255 , 257 , 261 , 265 , 285 , 287 , 296 , 298 , 300 , 301 , 301 , 305 , 305 , 310 , 310 , 313 , 314 , 314 , 318 , 318 , 322 , 324 (a) Create a boxplot of the data above. (b) Looking at the boxplot (and not calculating), would you think the average would be to the right, left, or at the same point as the median? Why? (c) Which measure of center would you choose in this case to best represent the data? 3