identifying the central position within that set of data. Skewness is a measure of the asymmetry of
the probability distribution of a real-valued random variable about its mean. Outlier is an
observation point that is distant from other observations. The median is less affected by outliers
and skewed data than the mean, and is usually the preferred measure of central tendency when
the distribution is not symmetrical. As the mean includes every value in the distribution the mean
is influenced by outliers and skewed distributions.When a distribution is skewed the mode
remains the most commonly occurring value, the median remains the middle value in the
distribution, but the mean is generally ‘pulled’ in the direction of the tails. In a skewed distribution,
the median is often a preferred measure of central tendency, as the mean is not usually in the
middle of the distribution.
For the following scores, find the mean, median, and mode. Which would be the most appropriate
measure for this data set? You may use Microsoft
data anlysis to compute these statistics.
Mode: = The data value which occur most. From the above 2 occur the most.