Find the number of observations between $250$ and $300$ from the following dataValue | More than $200$ | More than $250$ | More than $300$ | More than $350$No of observation | $56$ | $38$ | $15$ | $0$

The correct answer is Option b: $23$. From the given cumulative distribution: - Number of observations more than $250 = 38$ - Number of observations more than $300 = 15$ The number of observations between $250$ and $300$ consists of those observations that are more than $250$ but not more than $300$. This is calculated as: $$\text{Number of observations between } 250 \text{ and } 300 = (\text{More than } 250) - (\text{More than } 300)$$ $$\text{Number of observations} = 38 - 15 = 23$$ Hence, **Option B** is the correct answer.

Statistical Representation of DataMCQMTP May 20Question 2775 of 295

All Questions

Find the number of observations between $\displaystyle 250$ and $\displaystyle 300$ from the following dataValue | More than $\displaystyle 200$ | More than $\displaystyle 250$ | More than $\displaystyle 300$ | More than $\displaystyle 350$ No of observation | $\displaystyle 56$ | $\displaystyle 38$ | $\displaystyle 15$ | $\displaystyle 0$

Options

\displaystyle 56

\displaystyle 23

\displaystyle 15

\displaystyle 8

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Correct Answer

✅ Option b — $\displaystyle 23$

All Options:

A $\displaystyle 56$
B $\displaystyle 23$
C $\displaystyle 15$
D $\displaystyle 8$

Detailed Solution & Explanation

From the given cumulative distribution: - Number of observations more than

\displaystyle 250 = 38

- Number of observations more than

\displaystyle 300 = 15

The number of observations between

\displaystyle 250

and

\displaystyle 300

consists of those observations that are more than

\displaystyle 250

but not more than

\displaystyle 300

. This is calculated as:

\text{Number of observations between } 250 \text{ and } 300 = (\text{More than } 250) - (\text{More than } 300)

\text{Number of observations} = 38 - 15 = 23

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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