Statistical Description of DataMTP June 2023 Series IIQuestion 2753 of 295
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Perpendicular is drawn from the point of intersection of 2 Ogives on the horizontal axis. The value of it denotes:

Options

AFirst Quartile
BSecond Quartile
CThird Quartile
DAny of the above
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Correct Answer

✅ Option b — Second Quartile

All Options:

  • AFirst Quartile
  • BSecond Quartile
  • CThird Quartile
  • DAny of the above

Detailed Solution & Explanation

The 'less than' and 'more than' ogives of a continuous grouped frequency distribution intersect at a specific point. - The point of intersection corresponds to a cumulative frequency of exactly half the total number of observations, i.e., N/2\displaystyle N/2 on the vertical y-axis. - By definition, the value on the horizontal x-axis corresponding to a cumulative frequency of N/2\displaystyle N/2 is the **Median**. In quartile terminology: - The first quartile (Q1\displaystyle Q_1) represents the 25th percentile. - The second quartile (Q2\displaystyle Q_2) represents the 50th percentile, which is identical to the Median. - The third quartile (Q3\displaystyle Q_3) represents the 75th percentile. Since the perpendicular dropped from the intersection of the two ogives to the horizontal axis denotes the median, it corresponds to the **Second Quartile** (Q2\displaystyle Q_2). This is Option B. Hence, **Option B** is the correct answer.

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