Statistical Representation of DataMCQMTP 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 dAll of these

All Options:

  • AQuartiles
  • BDeciles
  • CMedian
  • DAll of these

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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.

About This Chapter: Statistical Representation of Data

Paper

Paper 3: Quantitative Aptitude

Weightage

2-4 Marks

Key Topics

Data, Frequency Distribution, Graphical Representation

This chapter covers Data, Frequency Distribution, Graphical Representation and is part of Paper 3: Quantitative Aptitude in the CA Foundation exam.

View Official ICAI Syllabus

Exam Strategy Tip

This topic carries 2-4 Marks weightage. Focus on understanding core concepts rather than memorizing.

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