The following are the published weights (in pounds) of all the team members of t

Question

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

e. (10%) Construct a box-and-whiskers plot of the data B C D A= B= C= E= 6(1096) The middle 50% of the weights are from g. (10%) If our population was all professional football players, the above data would be (pick one) h. (10%) If our population was the San Francisco 49ers, the above data would be (pick one) i" (1096) Based on the shape of the data, the most appropriate measure of center for this data is (pick one) j. (1096) Are there any outliers in the data? to i, IQR = .01 1.5IQR- iii. Q3 + 1.5 IQR = iv. Outliers? pick one)

Explanation / Answer

There are 54 observations, we first arrange them in ascending order

A( the lowest observation) = 150

B ( first quartile ) = 207( mean of 13th and 14th observation )

C ( median) = 230.5 ( mean of 27th and 28 th observation)

D ( third quartile ) = 250 ( mean of 41st and 42nd observation)

E(highest observation) = 293

f) 50% of the middle data are from 207 to 250 ( first quartile to third quartile )

j) IQR =( third quartile -first quartile)/2 = (250-207 )/2 = 21.5

Q1- 1.5 IQR = 174.75

Q3+ 1.5IQR = 282.25

Yes there are outliners ( 150, 284,293)

For g, h , i please give option yo be specific

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