The weights of a National Lacrosse League team are shown below in pounds (Ibs). 160 170 170 175 180 185 188 190 190 190 194 195 200 200 200 205 205 210 210 210 210 215 245 a) Using your calculator, calculate the mean, standard deviation and median of this data set. Use inspection (this means use your own method of examing) to determine the mode of this data set. Round your answers to the nearest tenth. Mean (Ibs) Standard Deviation (Ibs) Median (Ibs) Mode (Ibs) b) Based on the above calculations and the characteristics of a Normal Distribution, provide a justification for why is close to being normally distributed. c) Draw a normal curve that represents this data. d) Assume that the mean and standard deviation of this lacrosse team are the same as the mean and standard deviation for th entire National Lacrosse League. If there are 218 players in the league, use your normal distribution sketch above to calculate the approximate number of players that weigh over 231.3 Ibs.
The weights of a National Lacrosse League team are shown below in pounds (Ibs). 160 170 170 175 180 185 188 190 190 190 194 195 200 200 200 205 205 210 210 210 210 215 245 a) Using your calculator, calculate the mean, standard deviation and median of this data set. Use inspection (this means use your own method of examing) to determine the mode of this data set. Round your answers to the nearest tenth. Mean (Ibs) Standard Deviation (Ibs) Median (Ibs) Mode (Ibs) b) Based on the above calculations and the characteristics of a Normal Distribution, provide a justification for why is close to being normally distributed. c) Draw a normal curve that represents this data. d) Assume that the mean and standard deviation of this lacrosse team are the same as the mean and standard deviation for th entire National Lacrosse League. If there are 218 players in the league, use your normal distribution sketch above to calculate the approximate number of players that weigh over 231.3 Ibs.
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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Transcribed Image Text:The weights of a National Lacrosse League team are shown below in pounds (Ibs).
160
170
170
175
180
185
188
190
190
190
194
195
200
200
200
205
205
210
210
210
210
215
245
a) Using your calculator, calculate the mean, standard deviation and median of this data set. Use
inspection (this means use your own method of examing) to determine the mode of this data set. Round
your answers to the nearest tenth.
Mean (Ibs)
Standard Deviation (Ibs)
Median (Ibs)
Mode (Ibs)
b) Based on the above calculations and the characteristics of a Normal Distribution, provide a justification
for why is close to being normally distributed.
c) Draw a normal curve that represents this data.
d) Assume that the mean and standard deviation of this lacrosse team are the same as the mean and
standard deviation for th entire National Lacrosse League. If there are 218 players in the league, use
your normal distribution sketch above to calculate the approximate number of players that weigh over
231.3 Ibs.
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