Question

In: Statistics and Probability

Below are the jersey numbers of 11 players randomly selected from a football team. Find the​...

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

Solutions

Expert Solution

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


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