Video: Classifying the Shape of a Distribution as Symmetric or Skewed

Determine whether the represented data is symmetric, right skewed, or left skewed.

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Video Transcript

Determine whether the represented data is symmetric, right skewed, or left skewed.

What exactly does it mean to be skewed? Well, a distribution that is not symmetric must have values that tend to be more spread out on one side than the other. Here would be an example of a distribution that is not skewed. It relatively follows the normal bell-shaped curve. Here would be an example of the distribution being skewed left and an example being skewed right.

So we want to determine whether the represented data is symmetric, right skewed, or left skewed. So our middle example would be symmetric. This would be considered left skewed. And to be left skewed means the mean and the median are less than the mode. And over here to the right would be the right skewed. And when we have a data set that is skewed at right or right skewed, the mean and the median are greater than the mode.

A good way to remember this is that the ends kind of look like a tail. And notice with our data set, our tail is on the left, just like the left skewed representation. Therefore, we will consider this data to be left skewed.

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