Cumulative frequency distribution for a graph is called :

  1. Ogive
  2. Frequency polygon
  3. Pie diagram
  4. Frequency curve

Answer (Detailed Solution Below)

Option 1 : Ogive
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A graph of a cumulative frequency distribution is called Ogive.

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Ogive: In statistics, an ogive, also known as a cumulative frequency polygon, can refer to one of two things:

  • any hand-drawn graphic of a cumulative distribution function
  • any empirical cumulative distribution function.

The points plotted as part of an ogive are the upper-class limit and the corresponding cumulative absolute frequency or cumulative relative frequency. The ogive for the normal distribution resembles one side of an Arabesque or ogival arch, which is likely the origin of its name.

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1. Frequency Polygon: A frequency polygon is a graph constructed by using lines to join the midpoints of each interval or bin. The heights of the points represent the frequencies. A frequency polygon can be created from the histogram or by calculating the midpoints of the bins from the frequency distribution table.

2. Frequency Curve: A Frequency Curve is a smooth curve which corresponds to the limiting case of a histogram computed for a frequency distribution of a continuous distribution as the number of data points becomes very large.

3. Pie DiagramA pie diagram is a circular statistical graphic, which is divided into slices to illustrate numerical proportion. In a pie chart, the arc length of each slice is proportional to the quantity it represents.

Thus, option 1 is the correct answer.

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