The graphical representation of a frequency distribution is called
Correct Answer :
Histogram
Solution :
The correct option is Histogram.
To understand why this is the correct answer, let us look at what a frequency distribution is and how we represent it graphically:
A frequency distribution shows how often each value or range of values in a dataset occurs. For grouped or continuous data, we organize these values into continuous, non-overlapping intervals called class intervals.
A Histogram is a specific type of bar graph designed to display this continuous quantitative data. In a histogram:
1. The horizontal axis (x-axis) represents the class intervals (continuous data ranges).
2. The vertical axis (y-axis) represents the frequencies.
3. Rectangles (bars) are drawn adjacent to one another without gaps, representing the continuous nature of the data. The area of each bar is proportional to the frequency of its corresponding class interval.
Let us also briefly review why the other options are not the primary graphical representations of a frequency distribution:
- Bar Chart: Used primarily for discrete or categorical data, with spaces between the bars.
- Line Chart: Used to display information as a series of data points connected by straight line segments, typically to show trends over time.
- Pie Chart: Used to show numerical proportions or percentages of a whole dataset, divided into slices.
Therefore, a histogram is the standard graphical representation of a frequency distribution.
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