Question

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 deviation and explain why. then check by finding the standard deviations by hand. set 1 set 2
a.4, 7, 7, 7, 10 4, 6, 7, 8, 10

b.100, 140, 150, 160, 200 10, 50, 60, 70, 110

c.10, 16, 18, 20, 22, 28 48, 56, 58, 60, 62, 70

Answer 1

Standard deviation shows the distribution present in a set. Range can be used to approximate this property. Therefore, Set b (100, 140, 150, 160, 200 10, 50, 60, 70, 110) has the largest standard deviation because it has a range of 190 (i.e. 200 - 10)