Which of the following is suitable for the graphical representation of a Cumulative frequency distribution?
Options
AFrequency polygon
BHistogram
COgive
DPie chart
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Statistical Description of DataPYQ July 21Question 2695 of 295
All Questions Correct Answer
✅ Option c — Ogive
All Options:
- AFrequency polygon
- BHistogram
- COgive
- DPie chart
Detailed Solution & Explanation
A cumulative frequency distribution shows the running total of frequencies up to each class boundary. Graphically, this is represented by plotting the cumulative frequencies against the respective class boundaries and joining the points with a smooth curve. This curve is called an **Ogive** (or cumulative frequency curve).
There are two types of ogives:
1. **Less than Ogive**: Constructed by plotting the 'less than' cumulative frequencies against the upper class boundaries. This curve is always non-decreasing (rising from left to right).
2. **More than Ogive**: Constructed by plotting the 'more than' cumulative frequencies against the lower class boundaries. This curve is always non-increasing (falling from left to right).
In contrast:
- A **Histogram** is used for representing grouped frequency distributions (not cumulative ones).
- A **Frequency polygon** is a line graph representing class frequencies plotted against class marks.
- A **Pie chart** represents the proportion of components making up a total.
Thus, the ogive is the suitable graphical representation for a cumulative frequency distribution.
Hence, **Option C** is the correct answer.
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