Which of the following correctly lists the data sets in order of greatest to least standard ...
Which of the following correctly lists the data sets in order of greatest to least standard deviation?
I. 4, 12, 15, 17, 19, 25
II. 42, 42, 42, 42, 42, 42
III. 57, 58, 59, 50, 51, 52
Answer/Solution
I, II, III
Steps/Work
out of three given sets,
II has all numbers same, so it has zero standard deviation hence it is Least
only answer choices C and D have II in least position.
Out of I ans III
III has consecutive numbers , hence all are closedly spaced hence std deviation will be less
while in I,numbers are spread widely hence std deviation should be more than III
hence order should be II, III, I
IMO C
II has all numbers same, so it has zero standard deviation hence it is Least
only answer choices C and D have II in least position.
Out of I ans III
III has consecutive numbers , hence all are closedly spaced hence std deviation will be less
while in I,numbers are spread widely hence std deviation should be more than III
hence order should be II, III, I
IMO C