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What does this tell you about the weight distributions for the teams? Are any pl

ID: 3078400 • Letter: W

Question

What does this tell you about the weight distributions for the teams? Are any players outliers? A population consisting of the following 44 values: 165,185,185,185,195,200,205,210,210,215,230,230,255,260,265,280,290, 295,295,305,310,315,187,190,201,205,205,212,215,220,224,225,230,230, 264,265,265,270,275,282,284,290,290,292 These 44 data points have the mean (average) of 5: 165+185+185+185+195+200+205+210+210+215+230+255+260+265+280+290+295+295+305+310+315+187+190+201+205+205+212+215+220+224+225+230+230+264+265+265+270+275+282+284+290+290+292/44 = =241 To calculate the population standard deviation, I had to first compute the difference of each data point from the mean, and square the result of each, this is known as the variance: (165-241)2=5776 (185-241)2=3136 (185-241)2=3136 (310-241)2=4761 (195-241)2=2116 (200-241)2=1681 (205-241)2=1296 (210_241)2=961 (210_241)2=961 (215-241)2=676 (230-241)2=121 (230-241)2=121 (255-241)2=196 (260-241)2=361 (265-241)2=576 (280-241)2=1521 (290-241)2=2401 (295-241)2=2916 (295-241)2=2916 (315-241)2=5476 (187-241)2=2916 (190-241)2=2601 (201-241)2=1600 (205-241)2=1296 (205-241)2=1296 (212-241)2=841 (215-241)2=676 (220-241)2=441 (224-241)2=289 (225-241)2=256 (230-241)2=121 (230-241)2=121 (264-241)2=529 (265-241)2=576 (185-241)2=3136 (195-241)2=2116 (200-241)2=1681 (205-241)2=1296 (210_241)2=961 (210_241)2=961 (215-241)2=676 (230-241)2=121 (230-241)2=121 (255-241)2=196 (260-241)2=361 (265-241)2=576 (280-241)2=1521 (290-241)2=2401 (295-241)2=2916 (295-241)2=2916 (305-241)2=4096 (310-241)2=4761 (315-241)2=5476 (187-241)2=2916 (190-241)2=2601 (201-241)2=1600 (205-241)2=1296 (205-241)2=1296 (212-241)2=841 (215-241)2=676 (220-241)2=441 (224-241)2=289 (225-241)2=256 (230-241)2=121 (230-241)2=121 (264-241)2=529 (265-241)2=576 (265-241)2=576 (270-241)2=841 (275-241)2=1156 (282-241)2=4681 (284-241)2=1849 (290-241)2=2401 (290-241)2=2401 (292-241)2=2601 The summation of all of these values is: 75402 Next, I needed to calculate the average of these values, and take the square root: ?75402/44=41.39 This quantity is the population standard deviation.

Explanation / Answer

* first to calculate std deviation u should have divided by 43 instead of 44.
and std dev would be sqrt(75402)/43 = 6.38

and this doesnt indicate that any player is outlier it just represent the deviation from the mean value which you have approximated.

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