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A frequency curve is a graph obtained by joining the points of a frequency polygon freehand smoothly.
In order to plot the points on either the frequency polygon or curve, the mid values of the class intervals of the distribution are calculated. Then the frequencies with respect to the mid points are plotted. However in a frequency curve the points are joined by a smooth curve, where as in a frequency polygon the points are joined by straight lines. Apart from this major difference, a frequency polygon is a closed figure where as the frequency curve is not.
A cumulative frequency curve is a graph that shows the cumulative frequency of a data set. This type of graph can present data, such as medians and quartiles. Another name for this curve is an Ogive.
No, the normal curve is not the meaning of the Normal distribution: it is one way of representing it.
The area under the normal curve is ALWAYS 1.