Please give me step by step solution to find the correct ans
Please give me step by step solution to find the correct answer. Thank you!
Heavy football players: Following arc The weights, in pounds, for offensive and defensive linemen on a professional football team at The beginning of a recent year. Find The sample standard deviation for The weights for The offensive linemen. Round The answer to one decimal place. The sample standard deviation for The weights for The offensive linemen is lbSolution
Getting the mean, X,
X = Sum(x) / n
Sum(x) = 3507
Thus,
X = 292.25
Setting up tables,
x x - X (x - X)^2
356 63.75 4064.0625
253 -39.25 1540.5625
351 58.75 3451.5625
259 -33.25 1105.5625
256 -36.25 1314.0625
255 -37.25 1387.5625
263 -29.25 855.5625
331 38.75 1501.5625
325 32.75 1072.5625
311 18.75 351.5625
266 -26.25 689.0625
281 -11.25 126.5625
Thus, Sum(x - X)^2 = 17460.25
Thus, as
s^2 = Sum(x - X)^2 / (n - 1)
As n = 12
s^2 = 1587.295455
Thus,
s = 39.84087668 [ANSWER, SAMPLE STANDARD DEVIATION]
