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Lower limit of moadal class is 200,Upper limit of modal class is 120, Frequency of the modal class is 40 Frequency of the class succeeding the modal class 30 Frequency of the class preceding the modal class 27 Find out the mode?
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Lower limit of moadal class is 200,Upper limit of modal class is 120, ...
To find the mode using the given data, we will apply the formula for mode in a grouped frequency distribution. Here's the breakdown of the process:
Step 1: Identify the values
- **Lower limit of the modal class (L)**: 200
- **Upper limit of the modal class (U)**: 120 (this seems incorrect, it should be greater than the lower limit, but we will consider the modal class as 200-220)
- **Frequency of the modal class (f1)**: 40
- **Frequency of the class preceding the modal class (f0)**: 27
- **Frequency of the class succeeding the modal class (f2)**: 30
Step 2: Corrected values for calculations
- Assuming the upper limit of the modal class is actually 220, the values are:
- L = 200
- f1 = 40
- f0 = 27
- f2 = 30
Step 3: Use the Mode formula
The formula to calculate mode in a grouped frequency distribution is:
\[ \text{Mode} = L + \left(\frac{f1 - f0}{(2f1 - f0 - f2)}\right) \times h \]
Where:
- **h** is the class width. For our modal class (200-220), h = 20.
Step 4: Plug in the values
- Using the values in the formula:
\[ \text{Mode} = 200 + \left(\frac{40 - 27}{(2 \times 40 - 27 - 30)}\right) \times 20 \]
- Calculate step by step:
- \( f1 - f0 = 40 - 27 = 13 \)
- \( 2f1 - f0 - f2 = 80 - 27 - 30 = 23 \)
- \( \frac{13}{23} \approx 0.565 \)
- Thus,
\[ \text{Mode} = 200 + (0.565 \times 20) \]
\[ \text{Mode} \approx 200 + 11.3 = 211.3 \]
Conclusion
The mode of the given distribution is approximately **211.3**.
Step 1: Identify the values
- **Lower limit of the modal class (L)**: 200
- **Upper limit of the modal class (U)**: 120 (this seems incorrect, it should be greater than the lower limit, but we will consider the modal class as 200-220)
- **Frequency of the modal class (f1)**: 40
- **Frequency of the class preceding the modal class (f0)**: 27
- **Frequency of the class succeeding the modal class (f2)**: 30
Step 2: Corrected values for calculations
- Assuming the upper limit of the modal class is actually 220, the values are:
- L = 200
- f1 = 40
- f0 = 27
- f2 = 30
Step 3: Use the Mode formula
The formula to calculate mode in a grouped frequency distribution is:
\[ \text{Mode} = L + \left(\frac{f1 - f0}{(2f1 - f0 - f2)}\right) \times h \]
Where:
- **h** is the class width. For our modal class (200-220), h = 20.
Step 4: Plug in the values
- Using the values in the formula:
\[ \text{Mode} = 200 + \left(\frac{40 - 27}{(2 \times 40 - 27 - 30)}\right) \times 20 \]
- Calculate step by step:
- \( f1 - f0 = 40 - 27 = 13 \)
- \( 2f1 - f0 - f2 = 80 - 27 - 30 = 23 \)
- \( \frac{13}{23} \approx 0.565 \)
- Thus,
\[ \text{Mode} = 200 + (0.565 \times 20) \]
\[ \text{Mode} \approx 200 + 11.3 = 211.3 \]
Conclusion
The mode of the given distribution is approximately **211.3**.
Community Answer
Lower limit of moadal class is 200,Upper limit of modal class is 120, ...
But answer in my book is 163.64 how does it possible
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Lower limit of moadal class is 200,Upper limit of modal class is 120, Frequency of the modal class is 40 Frequency of the class succeeding the modal class 30 Frequency of the class preceding the modal class 27 Find out the mode?
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Lower limit of moadal class is 200,Upper limit of modal class is 120, Frequency of the modal class is 40 Frequency of the class succeeding the modal class 30 Frequency of the class preceding the modal class 27 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 modal class is 120, Frequency of the modal class is 40 Frequency of the class succeeding the modal class 30 Frequency of the class preceding the modal class 27 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 modal class is 120, Frequency of the modal class is 40 Frequency of the class succeeding the modal class 30 Frequency of the class preceding the modal class 27 Find out the mode?.
Lower limit of moadal class is 200,Upper limit of modal class is 120, Frequency of the modal class is 40 Frequency of the class succeeding the modal class 30 Frequency of the class preceding the modal class 27 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 modal class is 120, Frequency of the modal class is 40 Frequency of the class succeeding the modal class 30 Frequency of the class preceding the modal class 27 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 modal class is 120, Frequency of the modal class is 40 Frequency of the class succeeding the modal class 30 Frequency of the class preceding the modal class 27 Find out the mode?.
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