Which of the following is the name given to the line shown on this graph?

The correct designation for the line shown on the graph is a Cumulative Frequency Curve. This type of curve graphically represents the cumulative frequency of a dataset, illustrating the accumulation of frequencies up to a certain point in the dataset. As you progress along the horizontal axis, the curve rises, indicating the total count of observations that fall below or at each value.

This visualization is essential in understanding how data accumulates and can provide insights into the distribution and proportion of values in relation to the total dataset. For instance, at any point on the curve, you can determine how many observations are below that value, which is particularly useful for identifying percentiles.

The frequency curve depicts the distribution of individual frequencies; however, it does not represent cumulative totals. The cumulative relative frequency curve is focused on proportions rather than absolute frequencies, just as the relative frequency curve emphasizes the proportion of observations within different categories. Hence, the choice of the Cumulative Frequency Curve accurately captures the nature of the data as presented in the graph.