Central Tendency, Skewness, and Kurtosis

Central Tendency, Skewness, and Kurtosis

Central Tendency

A summary measure that attempts to describe a whole set of data with a single value that represents the middle or center of its distribution

Skewness

is a measure of the asymmetry of a distribution

Normal Distribution

Skewness

A probability that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean

Normal Distribution

Skewness

It appears as a “bell curve”

Negative Skewed

Skewness

The distribution is skewed to the right

Negative Skewed

Skewness

Mean exceeds mode and median

Positive Skew

Skewness

The distribution is skewed to the left

Positive Skew

Skewness

Mode exceeds mean and median

Measures of Skewness

Helps us to know to what degree and in which direction the frequency distribution has a departure from symmetry

Kurtosis

Another measure of the shape oof a frequency curve

Kurtosis

Measures the degree of peakness of a frequency distribution

Skewness

Signifies the extent of asymmetry

Kurtosis

Means bulginess

Leptokurtic

Kurtosis

When the peak of a curve becomes relatively high

Platykurtic

Kurtosis

When the curve is flat-topped

Mesokurtic

Kurtosis

When the curve is normal