Question

A frequency distribution can be presented graphically by:

• A. Pie Chart
• B. Histogram
• C. Pictogram
• D. Cartogram

Hint:

Continuous variables and grouped frequency distributions are represented using histograms.
Discrete distributions and qualitative data are typically represented using bar charts or pie charts.

Answer 1

The Correct Option is B

Step 1: Understanding the Concept:
A grouped frequency distribution represents continuous quantitative data.
Choosing the correct chart type is important to accurately display the continuous nature of the data and the frequencies of each class.

Step 3: Detailed Explanation:
Let us evaluate each option:
- Option (A) Pie Chart:
Used to display categorical, qualitative, or nominal data as proportions of a whole.
It is not suitable for showing continuous frequency distributions.
- Option (B) Histogram:
A histogram consists of adjacent rectangles erected over class intervals on the x-axis.
The width of each rectangle represents the class interval, and its height is proportional to the frequency density.
Because the rectangles are adjacent (with no gaps between them), it represents continuous frequency data.
This is the standard graph for presenting a continuous frequency distribution.
- Option (C) Pictogram:
Uses pictures or icons to represent data quantities, typically used in descriptive, non-technical presentations.
- Option (D) Cartogram:
A map that displays geographical and spatial data alongside statistical variables.
Thus, a frequency distribution is represented graphically using a Histogram.

Step 4: Final Answer:
Therefore, the correct option is (B).