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In a continuous frequency distribution with usual not tenses if l is equal to 32.5 F1 is equal to 15 f zero is equal to 12 F2 is equal to 8 and h is equal to 8 then the mode of the data is?
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In a continuous frequency distribution with usual not tenses if l is e...
Understanding Mode in Continuous Frequency Distribution
To find the mode of a continuous frequency distribution, we use the following formula:
Mode = l + [(F1 - F0) / (2F1 - F0 - F2)] × h
Where:
- **l** = lower boundary of the modal class
- **F1** = cumulative frequency of the modal class
- **F0** = cumulative frequency of the class preceding the modal class
- **F2** = cumulative frequency of the class succeeding the modal class
- **h** = class width
Given Values
- l = 32.5
- F1 = 15
- F0 = 12
- F2 = 8
- h = 8
Step-by-Step Calculation
1. **Substituting the values into the formula**:
- Mode = 32.5 + [(15 - 12) / (2(15) - 12 - 8)] × 8
2. **Calculating the numerator**:
- 15 - 12 = 3
3. **Calculating the denominator**:
- 2(15) - 12 - 8 = 30 - 12 - 8 = 10
4. **Final Computation**:
- Mode = 32.5 + [(3 / 10)] × 8
- Mode = 32.5 + (0.3) × 8
- Mode = 32.5 + 2.4
- Mode = 34.9
Conclusion
The mode of the data is **34.9**. This value represents the most frequently occurring class in the distribution, providing key insights into the dataset's tendency.
To find the mode of a continuous frequency distribution, we use the following formula:
Mode = l + [(F1 - F0) / (2F1 - F0 - F2)] × h
Where:
- **l** = lower boundary of the modal class
- **F1** = cumulative frequency of the modal class
- **F0** = cumulative frequency of the class preceding the modal class
- **F2** = cumulative frequency of the class succeeding the modal class
- **h** = class width
Given Values
- l = 32.5
- F1 = 15
- F0 = 12
- F2 = 8
- h = 8
Step-by-Step Calculation
1. **Substituting the values into the formula**:
- Mode = 32.5 + [(15 - 12) / (2(15) - 12 - 8)] × 8
2. **Calculating the numerator**:
- 15 - 12 = 3
3. **Calculating the denominator**:
- 2(15) - 12 - 8 = 30 - 12 - 8 = 10
4. **Final Computation**:
- Mode = 32.5 + [(3 / 10)] × 8
- Mode = 32.5 + (0.3) × 8
- Mode = 32.5 + 2.4
- Mode = 34.9
Conclusion
The mode of the data is **34.9**. This value represents the most frequently occurring class in the distribution, providing key insights into the dataset's tendency.
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In a continuous frequency distribution with usual not tenses if l is equal to 32.5 F1 is equal to 15 f zero is equal to 12 F2 is equal to 8 and h is equal to 8 then the mode of the data is?
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In a continuous frequency distribution with usual not tenses if l is equal to 32.5 F1 is equal to 15 f zero is equal to 12 F2 is equal to 8 and h is equal to 8 then the mode of the data is? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about In a continuous frequency distribution with usual not tenses if l is equal to 32.5 F1 is equal to 15 f zero is equal to 12 F2 is equal to 8 and h is equal to 8 then the mode of the data is? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In a continuous frequency distribution with usual not tenses if l is equal to 32.5 F1 is equal to 15 f zero is equal to 12 F2 is equal to 8 and h is equal to 8 then the mode of the data is?.
In a continuous frequency distribution with usual not tenses if l is equal to 32.5 F1 is equal to 15 f zero is equal to 12 F2 is equal to 8 and h is equal to 8 then the mode of the data is? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about In a continuous frequency distribution with usual not tenses if l is equal to 32.5 F1 is equal to 15 f zero is equal to 12 F2 is equal to 8 and h is equal to 8 then the mode of the data is? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In a continuous frequency distribution with usual not tenses if l is equal to 32.5 F1 is equal to 15 f zero is equal to 12 F2 is equal to 8 and h is equal to 8 then the mode of the data is?.
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