3. 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 break up the cluster in the center of the distribution by moving two of the central Scores out to the extremes. Compute the range and the standard deviation. 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?

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3. 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 break up the cluster in the center of the distribution by moving two of the central
scores out to the extremes. Compute the range and the standard deviation. 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?
Transcribed Image Text:3. 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 break up the cluster in the center of the distribution by moving two of the central scores out to the extremes. Compute the range and the standard deviation. 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?
Expert Solution
Step 1

Given,

Measure of variations are:

Range= Maximum- Minimum

Standard deviations= 1n-1(Xi-X-1)2

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