QUESTION: Think of an example from your life in which you could use probability. Describe how you would use it and how it relates to the readings.

Here is an example from a previous assignment this is for statistics class:

3. 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

a.Organize the data from smallest to largest value.

b.Find the median.

c.Find the first quartile.

d.Find the third quartile.

e.Construct a box plot of the data.

f.The middle 50% of the weights are from _______ to _______.

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

h.If our population included every team member who ever played for the San Francisco 49ers, would the above data be a sample of weights or the population of weights? Why?

i.Assume the population was the San Francisco 49ers. Find:

i.the population mean, .

ii.the population standard deviation, .

iii.the weight that is two 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?

Solutions:

a. 174; 177; 178; 184; 185; 185; 185; 185; 188; 190; 200; 205; 205; 206; 210; 210; 210;

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

b. 241

c. 205.5

d. 272.5

e. Construct a box plot of the data.

g. sample

h. population

i. i. 236.34

ii. 37.50

iii. 161.34

iv. 0.84 std. dev. below the mean