1. Pick any five numbers and compute the mean and standard deviation for this data set.
2. Multiply each number in the data set you created previously by 4, and compute the mean and standard deviation for this new data set.
3. Multiply the original data set by 9, and compute the mean and standard deviation for this new data set.
4. What conclusion can you make about changes in the mean and standard deviation when each score in a data set is multiplied by the same number?
5. The mean is 4 and the standard deviation is 2.2 for the data set 3, 4, 7, 1, 5. Consider your conclusion from the previous question and compute the mean and standard deviation for the data set 15, 20, 35, 5, 25. (Notice that each value from the data set has been multiplied by 5 to get the new data set.)