Which of the following data sets has the smallest standard deviation?  Choices.
A) {3, 3, 3, 3, 3} B) {2, 3, 3, 3, 4} C) {2, 2, 2, 4, 5} D) {0, 2, 3, 4, 6} E) {-1, 1, 3, 5, 7}
since we are asked to compare 'standard deviation', we should look out for similarity between all the sets..   The SIMILARITY is - the SUM of all sets is equal =15..   and hence average = 15/5 = 3...   Now we have 5 different sets which have AVG as 3, so we will look for the spread of the other elements of set around the AVERAGE..   clearly E has a range of 7-(-1) or 8, and has the highest standard deviation..   Next is D, which has a range of 6-0 or 6..   and (A) {3, 3, 3, 3, 3} has smallest standard of deviation.   ans {3, 3, 3, 3, 3}
<result>A</result>
Which of the following data sets has the smallest standard deviation?