Statistical Description of DataMTP Dec 22 Series IIQuestion 2750 of 295
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Ogive graph is used for finding:

Options

AQuartiles
BDeciles
CMedian
DAll of these
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Correct Answer

✅ Option d — All of these

All Options:

  • AQuartiles
  • BDeciles
  • CMedian
  • DAll of these

Detailed Solution & Explanation

An Ogive is a graphical curve representing cumulative frequency distribution. It plots cumulative frequency against class boundaries. Because cumulative frequency allows us to determine the value below which a certain percentage of observations fall, it is used to calculate all partition values (also known as quantiles): 1. **Median**: The value corresponding to 50%\displaystyle 50\% of the data (N/2\displaystyle N/2). 2. **Quartiles**: Values that partition the data into four equal parts (Q1\displaystyle Q_1 at 25%\displaystyle 25\%, Q3\displaystyle Q_3 at 75%\displaystyle 75\%, and Q2\displaystyle Q_2 at 50%\displaystyle 50\% which is the median). 3. **Deciles**: Values that partition the data into ten equal parts (D1\displaystyle D_1 to D9\displaystyle D_9). 4. **Percentiles**: Values that partition the data into a hundred equal parts. All of these partition values can be read directly from the Ogive by finding the corresponding cumulative frequency on the y-axis and projecting it to the x-axis. Therefore, it is used for finding all of these. Hence, **Option D** is the correct answer.

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