Question

Following are the published weights (in pounds) of all of the team members of Football Team...

Following are the published weights (in pounds) of all of the team members of Football Team A from a previous year.

178; 203; 212; 212; 232; 205; 185; 185; 178; 210; 206; 212; 184; 174;
185; 242; 188; 212; 215; 247; 241; 223; 220; 260; 245; 259; 278; 270;
280; 295; 275; 285; 290; 272; 273; 280; 285; 286; 200; 215; 185; 230;
250; 241; 190; 260; 250; 302; 265; 290; 276; 228; 265

Assume the population was Football Team A. Find the following. (Round your answers to two decimal places.)

(i) the population mean, μ
  

(ii) the population standard deviation, σ
  

(iii) the weight that is 3 standard deviations below the mean


(iv) When Player A played football, he weighed 200 pounds. How many standard deviations above or below the mean was he?

standard deviations below  the mean

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