Question

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

Organize the data from smallest to largest value.

a) find the median ____

b) Find the firt quartile _______

c) Find the third quartile. (Round your answer to one decimal place.)

d) The middle 50% of the weights are from _______ to _________.

e) If our population were all professional football players, would the above data be a sample of weights or the population of weights? Why? (choose one)

-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 sample of weights because they represent all of the players from one year.    

-The above data would be a population of weights because they represent all of the football players.

-The above data would be a population of weights because they represent all of the players on a team.

f) If our population were Football Team A, would the above data be a sample of weights or the population of weights? Why? (choose one)

-The data would be a sample 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 Football Team A.    

-The data would be a sample of weights because they represent all of the players on Football Team A.

-The data would be a population of weights because they represent all of the professional football players.

g) Assume the population was Football Team A. 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 Player A played football, he weighed 229 pounds. How many standard deviations above or below the mean was he? ______ standard deviations _____ (above or below) the mean .

h) That same year, the average weight for Football Team B was 240.08 pounds with a standard deviation of 44.38 pounds. Player B weighed in at 209 pounds. Suppose Player A from Football Team A weighed 229 pounds. With respect to his team, who was lighter, Player B or Player A? How did you determine your answer? (choose one)

-Player A, because he is more standard deviations away from his team's mean weight.

-Player B, because he is more standard deviations away from his team's mean weight.    

-Player A, because Football Team A has a higher mean weight.

-Player B, because Football Team B has a higher mean weight.

Answer 1

The sorted data is

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

a) find the median ____:241

b) Find the firt quartile _______:206

c) Find the third quartile. :272

d) The middle 50% of the weights are from __241_____ to ___272______.

e) If our population were all professional football players, would the above data be a sample of weights or the population of weights?

Ans:The above data would be a sample of weights because they represent a subset of the population of all football players.

As there may be another teams so the option b is not correct.

f) If our population were Football Team A, would the above data be a sample of weights or the population of weights?

Ans:The data would be a population of weights because they represent all of the players on Football Team A.

(i) the population mean, ? _236.3962___

(ii) the population standard deviation, ? __ 37.80839

(iii) the weight that is 3 standard deviations below the mean ______: There are no such weight. as mean-3*sd=122.971 and the first element of the sorted obstn is 174.

(iv) When Player A played football, he weighed 229 pounds. How many standard deviations above or below the mean was he? __1____ standard deviations __1___ (above or below) the mean .

h) That same year, the average weight for Football Team B was 240.08 pounds with a standard deviation of 44.38 pounds. Player B weighed in at 209 pounds. Suppose Player A from Football Team A weighed 229 pounds. With respect to his team, who was lighter, Player B or Player A? How did you determine your answer? (choose one)

Ans:Player B, because he is more standard deviations away from his team's mean weight.