the impact of an outlier on the mean
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Given a sample of 50 IQ scores ranging from 80 to 145, if the 145 were accidentally typed in error as a 415, what would be the impact on the following statistics? (Answer with increase, decrease or remains the same.)
The mean.
The median.
The standard deviation.
The range.
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Solution Summary
It analyzes how an outliner in an IQ scores samples impacts the mean, median, standard deviation, and range.
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The 50 IQ scores are first listed from small to larger as x1, x2, ..., x50
where x1 = 80, and x50 = 145
However, x50 = 415 now.
1) the mean: increase
the mean = (x1 + x2 + ... + x49 + x50) / 50 = (x1 + x2 + ... + x49 ) / 50 + x50/50
since x50 is larger, ...
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