If the cumulative frequency are plotted on axis then which type of curve is formed
Options
AOgive
BFrequency curve
CHistogram
DFrequency Polygon
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Statistical Description of DataPYQ June 22Question 2700 of 295
All Questions Correct Answer
✅ Option a — Ogive
All Options:
- AOgive
- BFrequency curve
- CHistogram
- DFrequency Polygon
Detailed Solution & Explanation
When the cumulative frequencies of a grouped distribution are plotted against the corresponding class boundaries, the resulting graph is called an **Ogive** (or a cumulative frequency graph).
Specifically:
- If we plot the 'less than' cumulative frequencies against the upper class boundaries, we obtain a "Less than Ogive" (an upward-sloping curve).
- If we plot the 'more than' cumulative frequencies against the lower class boundaries, we obtain a "More than Ogive" (a downward-sloping curve).
Other options:
- A **Frequency curve** is a smoothed version of a frequency polygon.
- A **Histogram** is constructed using class intervals and class frequencies (not cumulative frequencies).
- A **Frequency Polygon** is formed by joining the mid-points of the tops of the rectangles of a histogram.
Therefore, plotting cumulative frequencies yields an Ogive.
Hence, **Option A** is the correct answer.
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