Calculate the standard deviation of the following set of sample scores: 1, 3, 4, 6, 6.
a. Add a constant of 2 to each score. Calculate the standard deviation for the new values. Generalize to answer the question, "What is the effect on the standard deviation of adding a constant to each score?"
b. Subtract a constant of 2 from each score. Calculate the standard deviation for the new values. Generalize to answer the question,"What is the effect on the standard deviation of subtracting a constant from each score?"
c. Multiply each score by a constant of 2. Calculate the standard deviation for the new values. Generalize to answer the question, "What is the effect on the standard deviation of multiplying each score by a constant?"
d. Divide each score by a constant of 2. Calculate the standard deviation for the new values. Generalize to answer the question, "What is the effect on the standard deviation of dividing each score by a constant?"