Question: The range is completely determined by the two extreme scores in a distribution. The standard deviation, on the other hand, uses every score.

a. Compute the range (choose either definition) and the standard deviation for the following sample of n = 5 scores. Note that there are three scores clustered around the mean in the center of the distribution, and two extreme values. Scores: 0, 6, 7, 8, 14.

b. Now we will break up the cluster in the center of the distribution by moving two of the central scores out to the extremes. Once again compute the range and the standard deviation.

New scores: 0, 0, 7, 14, 14.

c. According to the range, how do the two distributions compare in variability? How do they compare according to the standard deviation?