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a piece of data that keeps changing like someones height or shoe size. * * * * * NO. Continuous data are those that can take all possible values within some given range (which may be infinite), or set of ranges. Discrete data, on the other hand, can only take values from a set (again, possibly infinite). These are usually integer values, but not necessarily so. Height is a continuous variable, but shoe size is a discrete variable.
The official definition for topology is "the study of geometric properties and spatial relations unaffected by the continuous change of shape or size of figures."
Examples of continuous variation are anything that can be measured such as, shoe size, height, weight, hand span and diameter of limpit shells. Discontinuous variation however is when there is a clear cut difference such as different colours or different species.
Mountains are continuous.
Continuous