28 Standard deviation II For each lettered part a through c

28. Standard deviation II For each lettered part, a through c, examine the two given sets of numbers. Without doing any calculations, decide which set has the larger standard devia- tion and explain why. Then check by finding the standard deviations by hand Set 1 Set 2 a) 4, 7, 7,7, 10 b) 100, 140, 150, 160, 200 c) 10, 16, 18, 20, 22,28 4, 6, 7, 8, 10 10, 50, 60, 70, 110 48, 56, 58, 60, 62, 70

Solution

28)

a) Set 2 has the larger standard deviation . Because , the values are relatively far from arithmetic mean value as compared to Set 1.

SD(Set1) = 2.12132 ; SD(Set 2) = 2.23607

b) Set 2 has the same standard deviation . Because , the values are equally far from arithmetic mean value in each cases

SD(Set1) = 36.05551 ; SD(Set 2) = 36.05551

c) Set 2 has the larger standard deviation . Because , the values are relatively far from arithmetic mean value as compared to Set 1.

SD(Set1) =6.03324 ; SD(Set 2) = 7.23878

39)

Data : {400,400,400,400,400,400,500,500,500,500,700,1200}

a) Mean = 525 , Median = (400+500)/2 = 450

b) 2 Employes ( Supervisor and Inventory Manager)

c) Median

d) Standard Deviation , because end data are far apart