Cumulative frequency graphs or ogives are used to visually represent how many values are below a certain upper class boundary.
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By its very nature, measuring cumulative frequency on either axis of a graph will produce a continuing line on the opposite axis. Therefore, it is impossible to construct a closed frequency polygon when dealing with cumulative frequency.
Cumulative frequency is the running total of class frequencies.
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The first is more commonly used and, in a usual graph, goes from bottom left to top right. The second goes from top left to bottom right. Both are equally valid.
Because of the word "cumulative". What that means is that the height of the graph for any value (X=x) is the number (or proportion) of observations that were less than or equal to the value x. Now consider the cumulative value of the graph for a value of X which is bigger than x. All the previous observations were ≤ x and so they will be ≤ the newer, larger value. So the height of the cumulative graph cannot decrease. It may increase if there are any observations whose value was between x and the new value.