Video Transcript
A data set has 20 different values
18 of the values are between ten and 20, but two of the values are greater than
40. Which measure of central tendency
would better represent a typical value of the data set? A) The mean, because it considers
all the data values B) The median, because it is less affected by the outliers, or
C) The mode, because it’s a robust statistic.
So we have 20 values. And 18 of the 20 are between ten
and 20. So that’s almost all of them except
two of the values are actually greater than 40, which means they are more than
double all of the other values. We would consider those two values
outliers.
So if we want a measure of central
tendency that would better represent a typical value of the data set, we don’t want
to really pay close attention to those outliers because that really kinda skews the
data set.
So we do not want to take consider
of the data values. What we would want would be the
median because it is less affected by the outliers. This would give us a good
representation of a typical value of the data set.