please answer question 2 collab stat desciptive val cum?mode-eval.counse.-7 Prob

Question

please answer question 2

collab stat desciptive val cum?mode-eval.counse.-7 Problem 2 The following are the published weights (in pounds) of all the team members of the San Francisco 49ers from a previous year 223 238, 202, 265 213 229 195 177178 i96 227 239 248 249 214, 227 227, 205, 225 205 191, 230 239, 218, 261, 261, 221 265 300, 242 195, 285 272 244 193 189, 220, 192 277 20 189 215, 255 201 220, 251, 286, 207 186 222 248 216 194, 242 a l10%) Organize the data from smallest to largest. L The 16 value s median e(10%) Give the first quarte Q1 d(10%) Give the third quartie Q3 e(10%, Cristrut a box and-whisker of the data B CD t00%) The middle 50% of the weights are from Ipick one g. (10%) if our population was ai professional tootbal players the above data would be

Explanation / Answer

[177.0, 178.0, 186.0, 189.0, 189.0, 192.0, 193.0, 194.0, 194.0, 195.0, 195.0, 196.0, 201.0, 205.0, 213.0, 214.0, 215.0, 216.0, 218.0, 220.0, 220.0, 222.0, 223.0, 224.0, 225.0, 227.0, 227.0, 227.0, 229.0, 230.0, 238.0, 239.0, 239.0, 242.0, 242.0, 244.0, 248.0, 248.0, 249.0, 251.0, 255.0, 260.0, 261.0, 261.0, 262.0, 265.0, 265.0, 267.0, 272.0, 277.0, 285.0, 285.0, 295.0, 300.0]

a) 16th value is 214

41st value is 255

b) Since we know that
Median for a list of even number of data point is the mean of 2 middle most values if we sort the list in increasing order while for a list of odd number it is the middle most value if the list is sorted in increasing order.
Since our list have even number of data points, this implies that
Median = 227.0

c) Since we know that
The lower quartile(Q1) is the median of the lower half of the data set while upper quartile(Q3) is the median of the upper half of the data set.
Also, median for a list of even number of data point is the mean of 2 middle most values if we sort the list in increasing order while for a list of odd number it is the middle most value if the list is sorted in increasing order.
Since our list have even number of data points, this implies that
Median = 227.0
Lower half of our list is [177.0, 178.0, 186.0, 189.0, 189.0, 192.0, 193.0, 194.0, 194.0, 195.0, 195.0, 196.0, 201.0, 205.0, 213.0, 214.0, 215.0, 216.0, 218.0, 220.0, 220.0, 222.0, 223.0, 224.0, 225.0, 227.0, 227.0]
Since our lower half list have even number of data points, this implies that
Q1 = 205.0
d) Upper half of our list is [227.0, 229.0, 230.0, 238.0, 239.0, 239.0, 242.0, 242.0, 244.0, 248.0, 248.0, 249.0, 251.0, 255.0, 260.0, 261.0, 261.0, 262.0, 265.0, 265.0, 267.0, 272.0, 277.0, 285.0, 285.0, 295.0, 300.0]
Since our upper half list have even number of data points, this implies that
Q3 = 255.0

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