Statistical Description of DataMTP June 22Question 2743 of 295
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Less than type and more than type Ogives meet at a point known as:

Options

AMean
BMedian
CMode
DAll of these
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Correct Answer

✅ Option b — Median

All Options:

  • AMean
  • BMedian
  • CMode
  • DAll of these

Detailed Solution & Explanation

The 'less than' and 'more than' ogives are graphical representations of cumulative frequencies from opposite directions. - The **Less than Ogive** starts at cumulative frequency 0\displaystyle 0 (at the lower boundary of the first class) and rises to the total frequency N\displaystyle N (at the upper boundary of the last class). - The **More than Ogive** starts at the total frequency N\displaystyle N (at the lower boundary of the first class) and falls to 0\displaystyle 0 (at the upper boundary of the last class). Since both curves are continuous and go from one boundary to another, they must intersect. At the point of intersection, the cumulative frequency value on the vertical y-axis is exactly equal to half of the total frequency, i.e., N/2\displaystyle N/2. By definition, the value on the horizontal x-axis corresponding to a cumulative frequency of N/2\displaystyle N/2 is the **Median** of the distribution. Thus, the perpendicular dropped from the meeting point of the two curves to the horizontal axis gives the Median. Hence, **Option B** is the correct answer.

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