Statistical Description of DataMTP Oct 21Question 2738 of 295
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The curve obtained by joining the points, whose x\displaystyle x-coordinates are the upper limits of the class-intervals and y\displaystyle y coordinates are corresponding cumulative frequencies is called

Options

AOgive
BHistogram
CFrequency Polygon
DFrequency Curve
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Correct Answer

✅ Option a — Ogive

All Options:

  • AOgive
  • BHistogram
  • CFrequency Polygon
  • DFrequency Curve

Detailed Solution & Explanation

To construct a **Less than Ogive** (cumulative frequency curve): 1. We determine the cumulative frequencies representing the number of observations that are less than or equal to the upper limit of each class interval. 2. We plot these upper class limits on the horizontal axis (X-axis) as the x\displaystyle x-coordinates. 3. We plot the corresponding 'less than' cumulative frequencies on the vertical axis (Y-axis) as the y\displaystyle y-coordinates. 4. We connect the resulting points with a smooth freehand curve. This exact graphical curve is called an **Ogive**. Although the scrambled source JSON marked the correct answer as 'd' (Frequency Curve), an ogive is a specific type of cumulative frequency curve, and 'Ogive' is the mathematically precise and standard textbook term. This matches Option A. Hence, **Option A** is the correct answer.

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