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The average of group numbers is x greater than that of group y, the standard deviation of x is greater than Y?
1) 10 numbers in each group
2) The range of both groups is the same
1) 10 numbers in each group
2) The range of both groups is the same
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E
1) we have no idea about the values, it could be even equal to the average so we can not figure out the deviation
2) the range just give us the fact that the difference between the highest and the lowest number is the same. We don't know how many values there are in each set
together is not sufficient
10,10,10,10,10,10,10,10,10,10 = average 10
0,0,0,0,0,0,0,0,0,0 = average 0
range for both = 0
same standard deviation
10,20,30,40,50,60,70,80,90,100= average 55
0,0,0,0,0,0,0,0,0,90 = average 9
range for both = 90
the standard deviation is different
1) we have no idea about the values, it could be even equal to the average so we can not figure out the deviation
2) the range just give us the fact that the difference between the highest and the lowest number is the same. We don't know how many values there are in each set
together is not sufficient
10,10,10,10,10,10,10,10,10,10 = average 10
0,0,0,0,0,0,0,0,0,0 = average 0
range for both = 0
same standard deviation
10,20,30,40,50,60,70,80,90,100= average 55
0,0,0,0,0,0,0,0,0,90 = average 9
range for both = 90
the standard deviation is different
