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), the variance, and the standard deviation for the following sample of n 5 4 scores. Note that there are two scores located in the center of the distribution and two extreme values. Scores: 0, 6, 6, 12

b. Now we will increase the variability by moving the two central scores out to the extremes. Once again compute the range, the variance, and the standard deviation. New scores: 0, 0, 12, 12

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