There many possible solutions to this problem. One possibility is sets of {4,6}, {6, 10}, and {-13, -7}. Another is sets of {4,5,6}, {6,8,10}, and {-13,-10,-7}.

If your answer **does not** match our answer,

- Did you check, once you got the right standard deviation, that your data set still had the right mean?
- Did you use the formula for calculating the
*population* standard deviation? Since you are making up an entire data set, rather than sampling from a larger group, you should use the formula for calculating the *population* standard deviation, not the sample standard deviation. - Did you try making up some sample datasets and checking their mean and standard deviation?
- Did you try a working backwards strategy and ask yourself, "in order for the standard deviation calculations to come out to be 1, what must have been true in the previous step?" or "in order for the mean calculations to come out to be 5, what must have been true in the previous step?"
- Did you consider making a data set with just two data points?
- Did you look up the formulas for mean and standard deviation?

If your answer **does** match ours,

- Did you explain any statistics concepts that you used?
- If you used a guess and check strategy, did you explain how you chose the numbers you guessed?
- Did you create a general formula pertaining to any mean and standard deviation?
- Can you think of another way to go about solving this problem?
- Is there a hint you could give a student who was struggling to solve the problem?
- Did you describe any "ah-ha!" moments you had?
- Did you describe the strategy you used?