Question

Following are heights, in inches, for a sample of college basketball players.

70 75 72 86 78 81 86 78 81 72 73 76 77 87 88 84 80 70 82 75 Find the sample standard deviation for the heights of the basketball players.

Answer 1

Solution:

Sample size n = 20

	x	x2
	70	4900
	75	5625
	72	5184
	86	7396
	78	6084
	81	6561
	86	7396
	78	6084
	81	6561
	72	5184
	73	5329
	76	5776
	77	5929
	87	7569
	88	7744
	84	7056
	80	6400
	70	4900
	82	6724
	75	5625
SUM	1571	124027

Sample variance s² =

= [1/(20 - 1)][124027 - (1571²/20) ]

= 32.89211

Now ,

sample standard deviation s = variance = 32.89211 = 5.735164

Sample standard deviation = 5.735164