SSC CGL Exam > SSC CGL Notes > Tier 2 - Study Material, Online Tests, Previous Year > Frequency polygon and frequency curve - Presentation of Data, Business Mathematics & Statistics
Frequency polygon and frequency curve - Presentation of Data, Business Mathematics & Statistics
FREQUENCY POLYGON
A frequency polygon is obtained by plotting the frequency of the class against its class marks, and joining the parts with line segments.
Frequency polygon can also be drawn with the help of histogram by joining their mid points of rectangle.
Frequency Curve
When the consecutive points on the graph join with a specific pattern smoothly shown in the below example. Frequency curve can also be drawn with the help of histogram by joining their mid points of rectangle. Frequency polygon and frequency curves are same except frequency curve is drawn using free hand and frequency polygon is drawn using scale. (Each point is joint using scale)
CUMULATIVE FREQUENCY CURVE
The cumulative frequency curve/polygon is obtained by plotting the cumulative frequency against the upper class boundary.
In cumulative frequency curve we draw using using free hand and in cumulative frequency polygon we draw each point using scale.
To draw this graph we have to make cumulative frequency table. We add up all the frequency step by step.
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After calculating CF which is cumulative frequency we plot the points and join it.
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FAQs on Frequency polygon and frequency curve - Presentation of Data, Business Mathematics & Statistics
| 1. What is a frequency polygon and how is it used to present data? |  |
Ans. A frequency polygon is a graph that represents the distribution of data using line segments. It is created by connecting the midpoints of the tops of the bars in a histogram or bar graph. It is used to visually display the frequency distribution of a dataset, showing the pattern and shape of the data.
| 2. How is a frequency curve different from a frequency polygon? | |
Ans. While both a frequency curve and a frequency polygon represent the distribution of data, the main difference lies in their presentation. A frequency polygon consists of line segments connecting the midpoints of the tops of the bars in a histogram, giving a step-like appearance. On the other hand, a frequency curve, also known as a smooth curve or a smooth frequency polygon, is obtained by using smooth curves instead of line segments. It provides a smoother visual representation of the data distribution.
| 3. What are the advantages of using a frequency polygon or frequency curve to present data? | |
Ans. Using a frequency polygon or frequency curve to present data offers several advantages. Firstly, they provide a visual representation of the frequency distribution, making it easier to observe patterns and trends in the data. Secondly, they allow for easy comparison between different datasets or categories within the same dataset. Additionally, they help in identifying the central tendency and spread of the data. Lastly, they are aesthetically pleasing and can be easily understood by a wide range of audience.
| 4. How can frequency polygons or frequency curves be used in business mathematics and statistics? | |
Ans. In business mathematics and statistics, frequency polygons and frequency curves can be used for various purposes. They can be used to analyze sales data, customer demographics, and market trends. By visually representing the data distribution, they help in identifying the most common values, outliers, and potential areas of improvement. They can also be used to compare different time periods or different products/services within a business, aiding in decision-making and forecasting.
| 5. Can frequency polygons or frequency curves be used to determine the probability of an event? | |
Ans. While frequency polygons and frequency curves provide valuable insights into the distribution of data, they do not directly determine the probability of an event. Probability calculations involve the use of specific mathematical formulas and techniques such as probability distributions. However, frequency polygons and frequency curves can assist in understanding the likelihood of certain outcomes by analyzing the relative frequencies of data points.
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