Question

The median of a given frequency distribution is found graphically with the help of
A. Ogive
B. Histogram
C. Frequency polygon
D. Frequency curve

Answer 1

There are different methods to find the median of the data based on the type of data given. A frequency distribution can be represented graphically in different ways and each representation helps in each way. Discussing the use of different representations, we can find which representation helps to find the median.

Complete step-by-step answer:
We need to discuss about the median and the various graphical representation of a frequency distribution
A median is usually a middle value of a given data
It is calculated by arranging the data in either ascending or descending order and finding the middle number whenever raw data is given.
For example, let’s consider a raw data
$25,59,84,26,57,58,96$
In order to find the median let's arrange the given data in ascending order
$25,26,57,58,59,84,96$
From this, the middle value gives the median of the given data.
The median is $58$ .
Whenever we are given a frequency distribution, we can represent graphically in different ways.
The histogram is like the bar graph. It is drawn by drawing rectangles corresponding to the x and y axis. It is used whenever the number of observations is large.
Using a histogram, we can construct a frequency polygon by plotting the midpoints of the class interval and joining them together.
Same way, whenever a smooth curve is drawn in free hand corresponding to the given frequency distribution, a frequency curve is obtained.
Finally, a frequency distribution is represented graphically as less than ogive and more than ogive. These two ogive curves help in finding the median of the given frequency distribution.
From this, it is clear that option a is the correct option.

So, the correct answer is “Option A”.

Note: Considering the other options, In the second option, the histogram is just used to represent numerical data and mostly used to represent data with a large number of observations. In the third and fourth option, the frequency polygon and the frequency curve is used to find the shape of the distribution and the flow of the distribution respectively.