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An ogive is a graph that displays relative frequencies. True or False?

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Final answer:

An ogive graph displays cumulative frequencies, not relative frequencies. It shows the number of data points below certain values, helping to understand cumulative data distribution.

Step-by-step explanation:

False. An ogive is a graph that displays the cumulative frequencies, not relative frequencies. The relative frequency shows the proportion of data points that have each value within the data set, whereas an ogive represents the running total of frequencies. In simple terms, an ogive graph will show you the number of data points that fall below a certain value in your dataset, which helps you to understand the distribution of data in terms of its cumulative impact.

In the context of a class of 35 students where, for instance, seven students received scores in the 70–79 range, the relative frequency of scores in this range would be calculated by dividing the number of students (7) by the total number of students (35), which would not be represented on an ogive but instead could be displayed in a histogram or a frequency polygon.

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