Each of the following three data sets represents the IQ scores of a random sample of adults. IQ scores are known to have a mean and median of 100. For each data set, determine the sample standard deviation. Then recompute the sample standard deviation assuming that the individual whose IQ is 106 is accidentally recorded as 160. For each sample size, state what happens to the standard deviation. Comment on the role that the number of observations plays in resistance.

-Determine the standard deviation of recumbent length for all 20 observations.
-Determine the standard deviation of recumbent length for the males.
-Determine the standard deviation of recumbent length for the females.
-What effect does blocking by gender have on the standard deviation of recumbent length for each gender?

Transcribed Image Text:

SAMPLE OF SIZE 5 106 92 98 103 100 SAMPLE OF SIZE 12 106 92 98 103 100 102 98 124 83 70 108 121 SAMPLE OF SIZE 30 98 103 100 102 83 70 108 121 102 87 121 107 97 114 90 88 103 106 92 98 124 140 93 130 72 81 103 97 89 98