Introduction to Ogive

The word “Ogive” may be a term utilized in architecture to explain curves or curved shapes. Ogives are graphs that are wont to estimate what percentage numbers lie below or above a specific variable or value in data. To construct an Ogive, firstly, the cumulative frequency of the variables is calculated employing a frequency table. The result or the last number within the cumulative frequency table is usually adequate to the entire frequencies of the variables. 


Let us discuss one among the graphs called “Ogive” Here, we are getting to have a glance at what's Ogive, graph, chart, and example.


Note: The most commonly used graphs of the distribution are histogram, frequency polygon, frequency curve, Ogives (cumulative frequency curves). 


Define Ogive 

The Ogive is defined because of the distribution graph of a series. Ogive is the graph for distribution of the cumulative, which also explains the data values on the horizontal plane axis and either of the cumulative relative frequencies, the cumulative frequencies, or the cumulative percentage frequencies on the vertical axis.

 

Create the Ogive by plotting the purpose like the cumulative frequency of every class interval. Most of the Statisticians use the Ogive curve, to illustrate the data in the pictorial representation. It helps in estimating the number of observations that are less than or equal to the particular value.

 

Ogive Graph

The graphs of the distribution are frequency graphs that exhibit the characteristics of discrete and continuous data. Such figures are more appealing to the attention than the tabulated data. It helps to facilitate the comparison study for two or more frequency distributions. We can relate the form and pattern of the 2 frequency distributions.

The two methods of Ogives are.

  1. Less than Ogive.

  2. Greater than or more than Ogive.

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The graph given above represents but and therefore is greater than the Ogive curve. The rising curve is shown (Brown Curve) also represents the Ogive, and therefore the falling curve (Green Curve) represents the greater than Ogive.

 

Less than Ogive

The frequencies of all preceding classes are added to the frequency of a category. This series is known as the less than cumulative series. It is constructed by adding the first-class frequency to the second-class frequency then to the third class frequency then on. The downward cumulation leads to the cumulative series.

 

Greater than or More than Ogive

The frequencies of the succeeding classes are added to the frequency of a category. This series is named the quiet or greater than cumulative series. It is constructed by subtracting the primary class, second class frequency from the entire, third class frequency from that, and so on. The upward cumulative result is greater than or quite the cumulative series.

 

Ogive Chart

An Ogive Chart may be a curve of the cumulative distribution or cumulative frequency distribution. For drawing such a curve, the frequencies must be expressed as a percentage of the entire frequency. Then, such percentages are accumulated and plotted, as within the case of an Ogive. Below are the steps to construct the but and greater than Ogive.

 

How to Draw Less than an Ogive Curve?

  • Draw and mark the horizontal and vertical axes.

  • Take the cumulative frequencies along the y-axis (vertical axis) and therefore the upper-class limits on the x-axis (horizontal axis).

  • Against each upper-class limit, plot the cumulative frequencies.

  • Connect the points with a continuous curve.

How to Draw Greater than or More than the Ogive Curve?

  • Draw and mark the horizontal and vertical axes.

  • Take the cumulative frequencies along the y-axis (vertical axis) and therefore the lower-class limits on the x-axis (horizontal axis).

  • Against each lower-class limit, plot the cumulative frequencies

  • Connect the points with a continuous curve.

Uses of Ogive Curve

Ogive Graph or the cumulative frequency graphs are wont to find the median of the given set of knowledge. If both, less than and greater than, the cumulative frequency curve is drawn on the same graph, we can easily find the median value. The point during which, both the curve intersects, like the x-axis, gives the median. Apart from finding the medians, Ogives are utilized in computing the percentiles of the info set values.

FAQs (Frequently Asked Questions)

Question 1: What is an Ogive Used for?

Answer: The word Ogive may be a term utilized in architecture to explain curves or curved shapes. Ogives are graphs that are wont to estimate what percentage numbers lie below or above a specific variable or value in data. To construct an Ogive, firstly, the cumulative frequency of the variables is calculated employing a frequency table.

Question 2: What is a Cumulative Frequency Polygon?

Answer: An ogive (oh-jive), which is called a cumulative frequency polygon sometimes, is also a type of frequency polygon that shows the cumulative frequencies. The Ogive graph also plots the cumulative frequency on the y-axis and the class boundaries along the x-axis.

Question 3: What is Another Name for an Ogive?

Answer: Ogive, which is also known to be the cumulative frequency polygon, can be one among two other things: any hand-drawn graphic of a cumulative distribution function. any empirical cumulative distribution function.

Question 4: How do you Explain an Ogive?

Answer: Ogive graph plans the cumulative frequency for the y-axis and class boundaries alongside the x-axis. It is very likely a histogram, only rather than rectangles, and it features a single point marking where the highest right for the rectangle would be. It is usually easier to make this type of graph from a frequency table.