Question
In statistics, we are usually concerned with data that closely resembles a normal or bell-shaped curve because these distributions can be easily approximated with the standard normal curve. However, not all situations fit this nice symmetric shape. One example is a uniform distribution where all values have the same frequency or probability of occurring. This curve would look like a box. Distributions can be skewed, have multiple maximum values, look like a ramp, or even be chaotic. Regardless of its shape, the concept of probability as area under the curve can still be applied to any distribution, as long as we think of the total area under the curve as 100%.
Can you come up with at least two examples of data that have non-normal distributions? Specific to your examples, explain the significance of the area under the curve to the right or left of a specific data value.
