Question
What are ogives? Discuss the method of constructing ogives with the help of an example.
Answer :
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Ogives are graphical representations used in statistics to depict the cumulative frequency or cumulative relative frequency of a dataset. They provide a clear visual understanding of how data accumulates across different class intervals and are particularly useful in analyzing the distribution and identifying percentiles, medians, and quartiles. In managerial decision-making, ogives help in understanding sales distributions, inventory levels, production outputs, or customer satisfaction scores over time, thereby facilitating data-driven strategic planning. An ogive is constructed by plotting cumulative frequencies against the upper class boundaries of class intervals. There are mainly two types of ogives: the less-than ogive, which represents cumulative frequency up to a certain upper class boundary, and the greater-than ogive, which represents cumulative frequency from a certain lower class boundary onward. The less-than ogive is commonly used in managerial applications to assess performance up to a particular level, such as the proportion of products meeting a quality threshold or sales below a target
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