Question

Below are the jersey numbers of 11 players randomly selected from a football team. Find the​ range, variance, and standard deviation for the given sample data. What do the results tell​ us?

46 93 73 92 1 63 71 41 66 29 37

Answer 1

solution

46 ,93, 73, 92, 1, 63, 71, 41, 66, 29, 37

The range = 93-1 =92

b )The mean of sample is   

x/n =  (46 +93+ 73+92+1+63+ 71+ 41+66+29+37 / 11)

=55.64

The sample mean is 55.64

Sample standard deviation is s

s = 1/(n-1)(x - )²

⁼  1/10 (46 - 55.64 )²+ (93 -55.64 )²+ (73 - 55.64 )²+ (92- 55.64 )² +( 1 - 55.64 )²+ (63 -55.64 )²+ (71 - 55.64 )²+ (41- 55.64 )² +( 66 - 55.64 )²+( 29 - 55.64 )²+ (37 -55.64 )²

= 776.654545454

=27.8685

The sample standard deviation is 27.87

variance =(s  )²

⁼(27.87)²

^=776.74