Following are the published weights (in pounds) of all of the team members of the San Francisco 49ers from a previous year.† 177; 205; 210; 210; 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 Organize the data from smallest to largest value. Part (a) Find the median. Part (b) Find the first quartile. (Round your answer to one decimal place.) Part (c) Find the third quartile. (Round your answer to one decimal place.)

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Following are the published weights (in pounds) of all of the team members of the San Francisco 49ers from a previous year.†
177; 205; 210; 210; 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
Organize the data from smallest to largest value.

  • Part (a)

    Find the median.
  • Part (b)

    Find the first quartile. (Round your answer to one decimal place.)
  • Part (c)

    Find the third quartile. (Round your answer to one decimal place.)
  • Part (d)

    Construct a box plot of the data.
       
       
  • Part (e)

    The middle 50% of the weights are from  to  .

Part (f)

If our population were all professional football players, would the above data be a sample of weights or the population of weights? Why? Which answer below?
 
  • The above data would be a population of weights because they represent all of the football players.
  • The above data would be a sample of weights because they represent all of the players from one year.    
  • The above data would be a sample of weights because they represent a subset of the population of all football players.
  • The above data would be a population of weights because they represent all of the players on a team.

Part (g)

If our population were the San Francisco 49ers, would the above data be a sample of weights or the population of weights? Why?
  • The data would be a sample of weights because they represent all of the professional football players.
  • The data would be a sample of weights because they represent all of the players on the San Francisco 49ers.   
  • The data would be a population of weights because they represent all of the professional football players.
  • The data would be a population of weights because they represent all of the players on the San Francisco 49ers.
  • Part (h)

    Assume the population was the San Francisco 49ers. Find the following. (Round your answers to two decimal places.)
    (i) the population mean, ?


    (ii) the population standard deviation, ?


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


    (iv) When Steve Young, quarterback, played football, he weighed 205 pounds. How many standard deviations above or below the mean was he?
     standard deviations  ---Select--- above below the mean

Part (i)

That same year, the average weight for the Dallas Cowboys was 240.08 pounds with a standard deviation of 44.38 pounds. Emmit Smith weighed in at 209 pounds. With respect to his team, who was lighter, Smith or Young? How did you determine your answer?
  • Young, because he is more standard deviations away from his team's mean weight.
  • Smith, because he is more standard deviations away from his team's mean weight.
  • Young, because the San Francisco 49ers have a higher mean weight.
  • Smith, because the Dallas Cowboys have a higher mean weight.
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