Statistical Representation of DataMCQMTP Dec 2023 Series IIQuestion 2757 of 295
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The number of observations between $150\displaystyle and $200 based on the following data is:Value | No of observations--- | ---More than $100\displaystyle | $70More than $150\displaystyle | $63More than $200\displaystyle | $28More than $250\displaystyle | $05

Select Your Answer (Keyboard: A, B, C, D)
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Correct Answer

✅ Option b — $35$

All Options:

  • A$46$
  • B$35$
  • C$28$
  • D$23$

Detailed Solution & Explanation

The given table represents a 'more than' cumulative frequency distribution: - The number of observations with values greater than $150\displaystyle is &#36;63. - The number of observations with values greater than $200\displaystyle is &#36;28. To find the number of observations that fall specifically in the interval between $150\displaystyle and &#36;200 (i.e., greater than $150$ but less than or equal to $200$), we subtract the cumulative frequency of the higher value from the cumulative frequency of the lower value: Number of observations (150<x≤200)=Frequency(>150)−Frequency(>200)Number of observations \displaystyle \text{Number of observations } (150 < x ≤\displaystyle \le 200) = Frequency\displaystyle \text{Frequency}(> 150) - Frequency\displaystyle \text{Frequency}(> 200) Number of observations (150<x≤200)=63−28=35Number of observations \displaystyle \text{Number of observations } (150 < x ≤\displaystyle \le 200) = 63 - 28 = 35 Thus, there are $35$ observations between $150$ and $200$. This corresponds to Option B. Hence, **Option B** 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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