Question

The most common form of diagrammatic representation of a grouped frequency distribution is
A. Ogive
B. Histogram
C. Frequency Polygon
D. None of these

Answer 1

Hint: We describe all the given options and their significance. We state the requirements for diagrammatic representation of a grouped frequency distribution. We choose the common and the easiest process among them to find the solution.

Complete step by step solution:
Ogive Graph is used to find the median of the given set of data. The point in which, both the curve intersects, corresponding to the x-axis, gives the median value. Apart from finding the medians, Ogives are used in computing the percentiles of the data set values.
Frequency polygons are a graphical device for understanding the shapes of distributions. They serve the same purpose as histograms, but are especially helpful in comparing multiple sets of data.
The most common form of diagrammatic representation of a grouped frequency distribution is Histogram. A histogram for a frequency distribution displays the frequencies of different class intervals. As such it becomes easier to locate the class interval having the greatest frequency or the least frequency. Histograms also help to find the mode of a distribution.

So, the correct answer is “Option B”.

Note: Histograms are based on area not on height of bars. This is because a histogram represents a continuous data set, and as such, there are no gaps in the data. A histogram is a plot that lets you discover, and show, the underlying frequency distribution (shape) of a set of continuous data.