Statistical Description of DataPYQ Dec. 21Question 2697 of 295
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Ogive curves are used to determine

Options

AMean
BMedian
CMode
DRange
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Correct Answer

✅ Option b — Median

All Options:

  • AMean
  • BMedian
  • CMode
  • DRange

Detailed Solution & Explanation

An Ogive (cumulative frequency curve) is a graphical representation of a cumulative frequency distribution. Because it plots cumulative frequency against class boundaries, it allows us to easily find the value below which a certain percentage of the data lies. Specifically, partition values such as the **Median** (the 50th percentile), quartiles (Q1\displaystyle Q_1, Q3\displaystyle Q_3), deciles, and percentiles can be read directly from the graph: - To find the Median, we locate the point on the vertical axis corresponding to half of the total frequency (N/2\displaystyle N/2). - We then draw a horizontal line from this point to intersect the Ogive. - From the intersection point, we drop a perpendicular line to the horizontal axis (x-axis). The value where this perpendicular meets the horizontal axis is the Median. Mean cannot be found graphically from an Ogive. Mode is found using a Histogram. Range is the difference between the maximum and minimum observations and is not determined via Ogives. Therefore, Ogives are used to determine the Median. Hence, **Option B** is the correct answer.

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