The Definition of Continuity of F (X) at a Point

question 39

Essay

The definition of continuity of f (x) at a point requires three things. List these three conditions, and in each case give an example (a graph or a formula) which illustrates how this condition can fail at x = a.

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Definitions:

Median

The middle value in a data set when the values are arranged in ascending or descending order.

Skewed

A description of data that are not symmetrically distributed around the mean, often indicating a longer tail on one side of the distribution.

Parameter

In statistical analysis, a parameter is a quantity that characterizes a certain aspect of a population or a model.

Statistic

A number that describes a characteristic of a sample, derived from the data that the sample contains.