Measures of Skewness Themed Math Worksheets

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Definition

Skewness is a measure of symmetry or the degree of asymmetry from the symmetry of a distribution. It measures the deviation of the distribution of a random variable from the a distribution which is normal and symmetrical on both sides.

Summary

Symmetric Distribution – identical on both sides if divided into two at the center.
Skewed Distribution – not identical on both sides if divided into two at the center.

TYPES OF DISTRIBUTION

Symmetric Distribution – In a symmetrical distribution, the mean, median, and mode coincide with each other or are all equal.
Asymmetric or Skewed Distribution – It is also known as a non-symmetric or non-normal distribution. In an asymmetrical distribution, the mean, median, and mode occur at different points.

TYPES OF SKEWED DISTRIBUTION

Positively Skewed Distribution – The distribution is positively skewed if it its tail shifts towards the right The mean and median are greater than the mode. It is also called the right skewed distribution.
Negatively Skewed Distribution – The distribution is negatively skewed if it its tail shifts towards the left The mean and median are less than the mode. It is also called the left skewed distribution.

HOW DO YOU READ SKEWNESS?

If the skewness is less than -1 or greater than +1, the distribution is highly skewed.
If skewness is between -1 and -0.5 or between +0.5 and +1, the distribution is moderately skewed.
If skewness is between -0.5 and +0.5, the distribution is approximately symmetric.

Measures of Skewness (Business Themed) Worksheets

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Each ready to use worksheet collection includes 10 activities and an answer guide. Not teaching common core standards? Don’t worry! All our worksheets are completely editable so can be tailored for your curriculum and target audience.