Median of a distribution can be obtained from:
Options
AHistogram
BFrequency Polygon
CLess than type ogives
Dnone of these
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Statistical Description of DataMTP Dec 22 - Series IQuestion 2745 of 295
All Questions Correct Answer
✅ Option c — Less than type ogives
All Options:
- AHistogram
- BFrequency Polygon
- CLess than type ogives
- Dnone of these
Detailed Solution & Explanation
The Median is the middle value of a sorted dataset, dividing it into two equal halves. For grouped frequency distributions of continuous variables, the median can be located graphically using cumulative frequency curves (Ogives).
- To find the median using a **Less than type ogive**, we locate the point on the vertical y-axis corresponding to (where is the total frequency).
- We draw a horizontal line from this point to intersect the ogive curve.
- From the point of intersection, we drop a perpendicular to the horizontal x-axis. The value at which this perpendicular meets the x-axis is the graphical estimate of the Median.
Histograms are used to find the Mode, and frequency polygons display simple frequencies. Therefore, the Median is obtained from less than type ogives (Option C).
Hence, **Option C** is the correct answer.
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