I need the boxes filled in above. Thanks. The range is completely determined by

Question

I need the boxes filled in above. Thanks.

The range is completely determined by the two extreme scores in a distribution. The standard deviation, on the other hand, uses every score. Compute the range 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. 0, 6, 7, 8, 14 Range (continuous) = 14 Range (discrete) = 15 Now we 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. 0, 0, 7, 14, 14 Range (continuous) = 14 Range (discrete) = 15 According to the range, how do the two distributions compare in variability? The second distribution is more variable. The two distributions are the same. The first distribution is more variable. How do they compare according to the standard deviation? The two distributions are the same. The first distribution is more variable. The second distribution is more variable.

Explanation / Answer

For the first box,

For the second box,

35 14 100 20 4.472136

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