Statistical Description of DataMTP Dec 2023 Series IIQuestion 2755 of 295
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The graphical representation of Median is calculated:

Options

AOgive Curve
BFrequency Curve
CLine Diagram
DHistogram
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Correct Answer

✅ Option a — Ogive Curve

All Options:

  • AOgive Curve
  • BFrequency Curve
  • CLine Diagram
  • DHistogram

Detailed Solution & Explanation

The Median is the central value of a distribution. For continuous frequency data, the median can be located graphically using cumulative frequency curves, which are called **Ogives** (Option A). - To find the median using a 'less than' ogive, we locate the point representing N/2\displaystyle N/2 on the vertical cumulative frequency axis and project it horizontally to the curve, then vertically down to the horizontal axis to read the median value. - Alternatively, the intersection point of the 'less than' and 'more than' ogives projects directly to the median on the horizontal axis. In contrast, a **Histogram** is used to find the Mode graphically. A **Frequency Curve** is a smoothed version of a simple frequency distribution, and a **Line Diagram** is used for simple trends over time. Thus, the Median is calculated graphically using the Ogive curve. Hence, **Option A** is the correct answer.

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