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 standard deviation.
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, …
It analyzes how an outliner in an IQ scores samples impacts the mean, median, standard deviation, and range.