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Lower limit of moadal class is 200 ,upper limit of moadal class is 120 , Frequency of modal class 40, Frequency of the class succeeding of modal class 30 Frequency of the class preceding of modal class 28 Find out the mode?
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Lower limit of moadal class is 200 ,upper limit of moadal class is 120...
To find the mode in a grouped frequency distribution, we can use the following formula:

Mode Formula
\[
\text{Mode} = L + \left( \frac{f_m - f_{m-1}}{(f_m - f_{m-1}) + (f_m - f_{m+1})} \right) \times h
\]
Where:
- \(L\) = lower limit of the modal class
- \(f_m\) = frequency of the modal class
- \(f_{m-1}\) = frequency of the class preceding the modal class
- \(f_{m+1}\) = frequency of the class succeeding the modal class
- \(h\) = class width

Given Data
- Lower limit of modal class (\(L\)) = 200
- Upper limit of modal class = 220 (calculated as \(L + h\), where \(h = 220 - 200 = 20\))
- Frequency of modal class (\(f_m\)) = 40
- Frequency of preceding class (\(f_{m-1}\)) = 28
- Frequency of succeeding class (\(f_{m+1}\)) = 30

Calculate Mode
1. **Identify Class Width**:
- \(h = 20\)
2. **Substitute Values into the Formula**:
\[
\text{Mode} = 200 + \left( \frac{40 - 28}{(40 - 28) + (40 - 30)} \right) \times 20
\]
3. **Solve the Equation**:
- \(f_m - f_{m-1} = 40 - 28 = 12\)
- \(f_m - f_{m+1} = 40 - 30 = 10\)
- \((f_m - f_{m-1}) + (f_m - f_{m+1}) = 12 + 10 = 22\)
\[
\text{Mode} = 200 + \left( \frac{12}{22} \right) \times 20
\]
\[
\text{Mode} = 200 + \left( 0.5454 \right) \times 20 \approx 200 + 10.91 \approx 210.91
\]

Conclusion
Thus, the mode of the dataset is approximately **210.91**.
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Lower limit of moadal class is 200 ,upper limit of moadal class is 120 , Frequency of modal class 40, Frequency of the class succeeding of modal class 30 Frequency of the class preceding of modal class 28 Find out the mode?
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Lower limit of moadal class is 200 ,upper limit of moadal class is 120 , Frequency of modal class 40, Frequency of the class succeeding of modal class 30 Frequency of the class preceding of modal class 28 Find out the mode? for B Com 2024 is part of B Com preparation. The Question and answers have been prepared according to the B Com exam syllabus. Information about Lower limit of moadal class is 200 ,upper limit of moadal class is 120 , Frequency of modal class 40, Frequency of the class succeeding of modal class 30 Frequency of the class preceding of modal class 28 Find out the mode? covers all topics & solutions for B Com 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Lower limit of moadal class is 200 ,upper limit of moadal class is 120 , Frequency of modal class 40, Frequency of the class succeeding of modal class 30 Frequency of the class preceding of modal class 28 Find out the mode?.
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