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Following is an incomplete distribution having modal mark as 44 Marks: 0-20 5 20-40 18 No. of Students: 40-60 ? 60-80 What would be the mean marks? (b) 46 (c) 47 12 5 8. (a) 45 5. The data relating to the daily wage of 20 workers are shown below: ₹50, 55, 60, 58, 59, 72, ₹65,₹68,₹53,₹50, ₹67, 58, ₹63, 69, 74, 63, 61, ₹57, 62, ₹ 64. 65 80-100?
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Following is an incomplete distribution having modal mark as 44 Marks:...
Distribution of Marks
To find the mean marks from the given distribution, we first need to complete the frequency distribution.
Given Data
- Modal mark: 44 (indicating the most frequently occurring marks)
- Ranges and frequencies:
- 0-20: 5
- 20-40: 18
- 40-60: ?
- 60-80: 12 (assumed, based on typical distribution)
Finding Frequency for 40-60
- Since the mode is 44, it lies in the 40-60 range.
- For a modal class, the frequency of the modal class (40-60) must be greater than the frequencies of the classes before and after it (20-40 and 60-80).
- Therefore, we can assume:
- Frequency of 40-60 = 20 (greater than 18 of 20-40 and less than 12 of 60-80)
Total Frequency Calculation
- Total students = 5 (0-20) + 18 (20-40) + 20 (40-60) + 12 (60-80) = 55
Mean Calculation
- Midpoint for each class:
- 0-20: 10
- 20-40: 30
- 40-60: 50
- 60-80: 70
- Mean = (Σ(f * x)) / N
- Where f = frequency, x = midpoint, N = total frequency
- Calculation:
- Mean = [(5*10) + (18*30) + (20*50) + (12*70)] / 55
- Mean = (50 + 540 + 1000 + 840) / 55
- Mean = 2430 / 55 ≈ 44.18
Conclusion
- The mean marks calculated is approximately 44.18.
Daily Wages of Workers
To calculate the mean daily wage from the given data:
Given Data
- Daily wages: ₹50, 55, 60, 58, 59, 72, ₹65, ₹68, ₹53, ₹50, ₹67, 58, ₹63, 69, 74, 63, 61, ₹57, 62, ₹64
Mean Calculation
- Total wages = Σ wages
- Total wages = 50 + 55 + 60 + 58 + 59 + 72 + 65 + 68 + 53 + 50 + 67 + 58 + 63 + 69 + 74 + 63 + 61 + 57 + 62 + 64 = ₹1,223
- Number of workers = 20
- Mean wage = Total wages / Number of workers = ₹1,223 / 20 = ₹61.15
Conclusion
- The mean daily wage of the workers is approximately ₹61.15.
To find the mean marks from the given distribution, we first need to complete the frequency distribution.
Given Data
- Modal mark: 44 (indicating the most frequently occurring marks)
- Ranges and frequencies:
- 0-20: 5
- 20-40: 18
- 40-60: ?
- 60-80: 12 (assumed, based on typical distribution)
Finding Frequency for 40-60
- Since the mode is 44, it lies in the 40-60 range.
- For a modal class, the frequency of the modal class (40-60) must be greater than the frequencies of the classes before and after it (20-40 and 60-80).
- Therefore, we can assume:
- Frequency of 40-60 = 20 (greater than 18 of 20-40 and less than 12 of 60-80)
Total Frequency Calculation
- Total students = 5 (0-20) + 18 (20-40) + 20 (40-60) + 12 (60-80) = 55
Mean Calculation
- Midpoint for each class:
- 0-20: 10
- 20-40: 30
- 40-60: 50
- 60-80: 70
- Mean = (Σ(f * x)) / N
- Where f = frequency, x = midpoint, N = total frequency
- Calculation:
- Mean = [(5*10) + (18*30) + (20*50) + (12*70)] / 55
- Mean = (50 + 540 + 1000 + 840) / 55
- Mean = 2430 / 55 ≈ 44.18
Conclusion
- The mean marks calculated is approximately 44.18.
Daily Wages of Workers
To calculate the mean daily wage from the given data:
Given Data
- Daily wages: ₹50, 55, 60, 58, 59, 72, ₹65, ₹68, ₹53, ₹50, ₹67, 58, ₹63, 69, 74, 63, 61, ₹57, 62, ₹64
Mean Calculation
- Total wages = Σ wages
- Total wages = 50 + 55 + 60 + 58 + 59 + 72 + 65 + 68 + 53 + 50 + 67 + 58 + 63 + 69 + 74 + 63 + 61 + 57 + 62 + 64 = ₹1,223
- Number of workers = 20
- Mean wage = Total wages / Number of workers = ₹1,223 / 20 = ₹61.15
Conclusion
- The mean daily wage of the workers is approximately ₹61.15.
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Following is an incomplete distribution having modal mark as 44 Marks: 0-20 5 20-40 18 No. of Students: 40-60 ? 60-80 What would be the mean marks? (b) 46 (c) 47 12 5 8. (a) 45 5. The data relating to the daily wage of 20 workers are shown below: ₹50, 55, 60, 58, 59, 72, ₹65,₹68,₹53,₹50, ₹67, 58, ₹63, 69, 74, 63, 61, ₹57, 62, ₹ 64. 65 80-100?
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Following is an incomplete distribution having modal mark as 44 Marks: 0-20 5 20-40 18 No. of Students: 40-60 ? 60-80 What would be the mean marks? (b) 46 (c) 47 12 5 8. (a) 45 5. The data relating to the daily wage of 20 workers are shown below: ₹50, 55, 60, 58, 59, 72, ₹65,₹68,₹53,₹50, ₹67, 58, ₹63, 69, 74, 63, 61, ₹57, 62, ₹ 64. 65 80-100? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about Following is an incomplete distribution having modal mark as 44 Marks: 0-20 5 20-40 18 No. of Students: 40-60 ? 60-80 What would be the mean marks? (b) 46 (c) 47 12 5 8. (a) 45 5. The data relating to the daily wage of 20 workers are shown below: ₹50, 55, 60, 58, 59, 72, ₹65,₹68,₹53,₹50, ₹67, 58, ₹63, 69, 74, 63, 61, ₹57, 62, ₹ 64. 65 80-100? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Following is an incomplete distribution having modal mark as 44 Marks: 0-20 5 20-40 18 No. of Students: 40-60 ? 60-80 What would be the mean marks? (b) 46 (c) 47 12 5 8. (a) 45 5. The data relating to the daily wage of 20 workers are shown below: ₹50, 55, 60, 58, 59, 72, ₹65,₹68,₹53,₹50, ₹67, 58, ₹63, 69, 74, 63, 61, ₹57, 62, ₹ 64. 65 80-100?.
Following is an incomplete distribution having modal mark as 44 Marks: 0-20 5 20-40 18 No. of Students: 40-60 ? 60-80 What would be the mean marks? (b) 46 (c) 47 12 5 8. (a) 45 5. The data relating to the daily wage of 20 workers are shown below: ₹50, 55, 60, 58, 59, 72, ₹65,₹68,₹53,₹50, ₹67, 58, ₹63, 69, 74, 63, 61, ₹57, 62, ₹ 64. 65 80-100? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about Following is an incomplete distribution having modal mark as 44 Marks: 0-20 5 20-40 18 No. of Students: 40-60 ? 60-80 What would be the mean marks? (b) 46 (c) 47 12 5 8. (a) 45 5. The data relating to the daily wage of 20 workers are shown below: ₹50, 55, 60, 58, 59, 72, ₹65,₹68,₹53,₹50, ₹67, 58, ₹63, 69, 74, 63, 61, ₹57, 62, ₹ 64. 65 80-100? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Following is an incomplete distribution having modal mark as 44 Marks: 0-20 5 20-40 18 No. of Students: 40-60 ? 60-80 What would be the mean marks? (b) 46 (c) 47 12 5 8. (a) 45 5. The data relating to the daily wage of 20 workers are shown below: ₹50, 55, 60, 58, 59, 72, ₹65,₹68,₹53,₹50, ₹67, 58, ₹63, 69, 74, 63, 61, ₹57, 62, ₹ 64. 65 80-100?.
Solutions for Following is an incomplete distribution having modal mark as 44 Marks: 0-20 5 20-40 18 No. of Students: 40-60 ? 60-80 What would be the mean marks? (b) 46 (c) 47 12 5 8. (a) 45 5. The data relating to the daily wage of 20 workers are shown below: ₹50, 55, 60, 58, 59, 72, ₹65,₹68,₹53,₹50, ₹67, 58, ₹63, 69, 74, 63, 61, ₹57, 62, ₹ 64. 65 80-100? in English & in Hindi are available as part of our courses for UPSC.
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