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?

1   76   72   52   29   68   46   30   53   59   74

  

Range equals=75

Sample standard deviation=__?​(Round to one decimal place as​ needed.)

variance=__?

Answer 1

Range =larger value -smaller value

=76-1

=25

#Range=25

	x	(x-xbar)^2
	1	2490.917355
	76	629.553719
	72	444.8264463
	52	1.190082645
	29	480.0082645
	68	292.0991736
	46	24.09917355
	30	437.1900826
	53	4.371900826
	59	65.46280992
	74	533.1900826
sum	560	5402.909091
mean	50.90909091
xbar	sum(x)/n	50.90909091
variance=	=	540.29
standard deviatio=	=	23.2441586

#Sample standard deviation=23.2

#variance=540.3