Question

What is the value of the median of the data using the graph in the given figure, of less than ogive and more than ogive?

A). Median=3
B). Median=4
C). Median=2
D). Median=1

Answer 1

Hint: In the above type of question first take a basic knowledge of what the question means by less than or more than ogive, then, use those concepts that you just learned to find out the median of the two mentioned curves i.e. less and more than ogive.

Complete step-by-step solution:
Ogive is a term which is used in the architecture industry through which we can easily depict curves or curved shapes. Ogives are also kinds of graphs which are basically used to estimate how many numbers are lying below or above a particular variable or a particular value in the given data. So as to construct this ogive type of graph, the first thing that we are supposed to do is to find the cumulative frequency of the variables from the frequency table data which can be easily calculated by using the frequency table provided.
To make this ogive curve we will just be requiring two things, the first thing being the upper limits of the class intervals that would be provided to us in the question, the second being the cumulative frequency of the frequency data provided against those classes. After finding both the two things we can use these as the x and y-axis i.e. x-axis being the upper limits of the class and y-axis being the cumulative frequency.
Now in our question we don’t have to do any of the other graphical methods as we already know the graph and it is mentioned in the question. Whenever we have a more and less than ogive graph we know that the median of the graph can be found as the x-coordinate of the intersection point of the two curves and we can easily say that in this question it is 4.
So the median of the above given more than and less than ogive curve is 4 i.e. option b.
So the final answer to the question is option b.

Note: In this type of formation of diagrams make sure that you have a graph sheet where you can clearly see the divisions of the sheet, make sure you have properly sharpened pencil so as to make the diagram as accurate as possible and also never ever change the interval if its mentioned in the question.