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How do you construct a frequency polygon in statistics?

Author

Sophia Bowman

Updated on March 18, 2026

How do you construct a frequency polygon in statistics?

A frequency polygon can be created from the histogram or by calculating the midpoints of the bins from the frequency distribution table. The midpoint of a bin is calculated by adding the upper and lower boundary values of the bin and dividing the sum by 2.

In respect to this, what is frequency polygon with example?

A frequency polygon is almost identical to a histogram, which is used to compare sets of data or to display a cumulative frequency distribution. It uses a line graph to represent quantitative data. Tables, graphs, pie-charts, bar graphs, histograms, polygons etc. are used to represent statistical data pictorially.

Additionally, what is the use of frequency polygon? Frequency Polygon. A frequency polygon is a graphical form of representation of data. It is used to depict the shape of the data and to depict trends. It is usually drawn with the help of a histogram but can be drawn without it as well.

Besides, how do you construct a frequency curve in statistics?

More Than Type Cumulative Frequency Curve

  1. In the graph, put the lower limit on the x-axis.
  2. Mark the cumulative frequency on the y-axis.
  3. Plot the points (x,y) using lower limits (x) and their corresponding Cumulative frequency (y)
  4. Join the points by a smooth freehand curve. It looks like an upside down S.

What are the advantages of frequency polygon?

1. The frequency polygons not only help to make sure that the data is sorted out and represented, they are also going to make it easier for the people to compare and contrast all the results. 2. These are much easier to understand and they give a clear picture of the distribution of data.

What are the characteristics of frequency polygon?

A frequency polygon is very similar to a histogram. In fact, they are almost identical except that frequency polygons can be used to compare sets of data or to display a cumulative frequency distribution. In addition, histograms tend to be rectangles while a frequency polygon resembles a line graph.

Why is it called a frequency polygon?

A frequency polygon is a line graph created by joining all of the top points of a histogram. They are called polygons because the line the graph creates resembles half of a polygon.

What is a frequency polygon used for?

Frequency Polygon. A frequency polygon is a graphical form of representation of data. It is used to depict the shape of the data and to depict trends. It is usually drawn with the help of a histogram but can be drawn without it as well.

What is the difference between line graph and frequency polygon?

A frequency polygon is a line graph. The points are often not connected with a smooth line, but with straight line segments. Frequency polygons are used to show the changes over time.

How do you construct a frequency polygon from a frequency table?

A frequency polygon can be created from the histogram or by calculating the midpoints of the bins from the frequency distribution table. The midpoint of a bin is calculated by adding the upper and lower boundary values of the bin and dividing the sum by 2.

What is frequency polygon diagram?

Frequency polygons are a graphical device for understanding the shapes of distributions. They serve the same purpose as histograms, but are especially helpful for comparing sets of data. Frequency polygons are also a good choice for displaying cumulative frequency distributions.

What is the class interval?

Definition Of Class Interval
While arranging large amount of data instatistics, they are grouped into different classes to get an idea of the distribution, and the range of such class of data is called the Class Interval.

What is ogive curve?

An ogive (oh-jive), sometimes called a cumulative frequency polygon, is a type of frequency polygon that shows cumulative frequencies. In other words, the cumulative percents are added on the graph from left to right. An ogive graph plots cumulative frequency on the y-axis and class boundaries along the x-axis.

What is the difference between a frequency polygon and an ogive?

The most important difference between them is that an ogive is a plot of cumulative values, whereas a frequency polygon is a plot of the values themselves. So, to get from a frequency polygon to an ogive, we would add up the counts as we move from left to right in the graph.

What is a frequency polygon in Excel?

A frequency polygon is a visual representation of a distribution. The visualization tool is used to understand the shape of a distribution. Essentially, the frequency polygon indicates the number of occurrences for each distinct class in the dataset.

How do you make a frequency polygon without a histogram?

HOW TO DRAW FREQUENCY POLYGON WITHOUT HISTOGRAM
  1. Step 1 : Obtain the frequency distribution and compute the mid points of each class interval.
  2. Step 2 : Represent the mid points along the X-axis and the frequencies along the Y-axis.
  3. Step 3 : Plot the points corresponding to the frequency at each mid point.
  4. Step 4 :
  5. Step 5 :

What is a frequency histogram?

Frequency Histograms
A frequency histogram is a graph with vertical columns that represent the frequency of a data point or range of data points occurring in a set of data. ' The height of each bar, labeled on the y-axis, represents how many times the numbers in the range appeared in the data set.

What is the difference between histogram and frequency polygon?

Whereas a histogram is built of bins with a width representing the interval, and a height representing the quantity of data points in each interval, a frequency polygon is constructed by drawing a point to represent the frequency of a particular interval and connecting that point to the one representing the frequency

What is a frequency curve?

A frequency-curve is a smooth curve for which the total area is taken to be unity. It is a limiting form of a histogram or frequency polygon. The frequency-curve for a distribution can be obtained by drawing a smooth and free hand curve through the mid-points of the upper sides of the rectangles forming the histogram.

What is frequency curve with example?

A frequency-curve is a smooth curve for which the total area is taken to be unity. It is a limiting form of a histogram or frequency polygon. The frequency-curve for a distribution can be obtained by drawing a smooth and free hand curve through the mid-points of the upper sides of the rectangles forming the histogram.

How do u find the frequency?

To calculate the frequency of a wave, divide the velocity of the wave by the wavelength. Write your answer in Hertz, or Hz, which is the unit for frequency. If you need to calculate the frequency from the time it takes to complete a wave cycle, or T, the frequency will be the inverse of the time, or 1 divided by T.

What is class frequency in statistics?

Class frequency refers to the number of observations in each class; n represents the total number of observations in the entire data set. For the supermarket example, the total number of observations is 200. The relative frequency may be expressed as a proportion (fraction) of the total or as a percentage of the total.

What are the disadvantages of frequency polygon?

There is one major drawback with this form. All the data is in a clustered form and it is very difficult for the people to see to it that they are going to segregate the data. 3. Graphical representation: This is found to be one of the best forms of representation of data.

What is less than cumulative frequency?

The total frequency of all classes less than the upper class boundary of a given class is called the cumulative frequency of that class. Less than cumulative frequency distribution: It is obtained by adding successively the frequencies of all the previous classes including the class against which it is written.

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