1. A medical study collected data on a participant's total Serum Cholesterol. The Cholesterol level (in mgldl) for these 22 patients is below. NOTE: you can copy and paste the data set into Excel to make it easier to work with. 168 226 239 283 192 233 247 294 199 233 250 340 204 234 263 354 211 236 266 219 239 275 a) Calculate the sample mean and sample variance. b) Determine the S-number summary. c) Do any outliers exist in our data? If so, identify them and mathematicallyjustify your answer. d) Construct a well labeled modified boxplot. e) Find the 30'h percentile. f) Would you say that the data set appears to be left skewed, right skewed. or symmetric? Explain your answer. 3) Based on your answer to part f) what would be the best measures of center and spread for this data set