Problem 2 The following are the published weights (in pounds) of all the team me

Question

Problem 2 The following are the published weights (in pounds) of all the team members of the San Francisco 49ers from a previous year. 234, 216, 250, 205, 284, 221, 211,236,198, 224,234, 228, 208, 212, 206, 244, 150, 293, 230, 196, 248, 241,273,240, 187, 186, 215, 233, 272, 250, 257, 274, 248, 220, 231, 258, 228, 243, 186, 191, 230, 174, 264, 237, 206, 194, 225, 277, 241,225, 266, 252, 264, 185 a. (10%) Organize the data from smallest to largest. i. The 20th value is i. The 42th value is b. (1096) Give the median: Give the first quartile: Q1 = Give the third quartile: 03 = Construct a box-and-whiskers plot of the data 6(1096) d. (10%) e. (1096) B CD

Explanation / Answer

A) data from smallest to largest is

150 174 185 186 186 187 191 194 196 198 205 206 206

208 211 212 215 216 220 221 224 225 225 228 228 230

230 231 233 234 234 236 237 240 241 241 243 244 248

248 250 250 252 257 258 264 264 266 272 273 274 277

284 293

now 20th value is 221

42th value is 250

b) median is 230 +231 / 2 = 230.5

c) first quartile Q1 = (206 +208)/2 = 212

d) third quartile Q3 =( 248+ 250) / 2 =249

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