The following are the published weights (in pounds) of all the team members of t

Question

The following are the published weights (in pounds) of all the team members of the San Francisco 49ers from a previous year. 287, 227, 213, 185, 213, 212, 212, 220, 214, 196, 173, 233, 209, 243, 203, 208, 156, 204, 241, 192, 238, 247, 214, 185, 254, 185, 279, 235, 189, 230, 273, 228, 181, 255, 158, 272, 270, 197, 205, 230, 226, 172, 211, 240, 219, 208, 232, 174, 191, 261, 236, 219, 199, 190 a. (10%) Organize the data from smallest to largest. i. The 15^th value is ii. The 42^th value is b. (10%) Give the median: c. (10%) Give the first quartile: Q1 = d. (10%) Give the third quartile: Q3 = e. (10%) Construct a box-and-whiskers plot of the data A= B= C = D = E =

Explanation / Answer

Sorted data is 156 158 172 173 174 181 185 185 185 189 190 191 192 196 197 199 203 204 205 208 208 209 211 212 212 213 213 214 214 219 219 220 226 227 228 230 230 232 233 235 236 238 240 241 243 247 254 255 261 270 272 273 279 287

a)

1) 15th value is 197

2) 42nd value is 238

b) Median is the middle value, which is average of middle 2 values which is (213+214)/2 =213.5

c) First Quartile Q1 is defined as the middle number between the smallest number and the median of the data set. This is 196

d)Third Quartile Q3 =236

Per the chegg guidelines, I have answered first 4 questions

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