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Earning between . Q. 14. The following information relate to the wages of workers of a factory, their total working hours and the average working hours per worker. Calculate the average waves per worker and the modal wages. Also find out the range of wages of middle 50% of the workers: Wages (in) 80-100 100-120 120-140 140-160 160-180 180-200 Total Hours Worked 108 120 170 195 119 60 Average Hours per worker 9 8 8.5 7.5 6?
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Earning between . Q. 14. The following information relate to the wages...
Average Wages per Worker:
To calculate the average wages per worker, we need to find the total wages and divide it by the total number of workers. The data given is in ranges, so we need to find the midpoint of each range and multiply it by the number of workers in that range. Then we add up all the values and divide by the total number of workers.
- Midpoint of first range (80-100) = (80+100)/2 = 90
- Number of workers in first range = 108
- Total wages for first range = 90*108 = 9720
- Similarly, we can calculate the total wages for each range and add them up to get the total wages for all workers.
- Total wages for all workers = 126860
- Total number of workers = 612
- Average wages per worker = 126860/612 = 207.45 (rounded to nearest cent)
Modal Wages:
The modal wages is the value that appears most frequently in the data set. To find the modal wages, we need to look at the frequency of each range and find the range with the highest frequency.
- Frequency of first range = 108
- Frequency of second range = 120
- Frequency of third range = 170
- Frequency of fourth range = 195
- Frequency of fifth range = 119
- Frequency of sixth range = 60
- The range with the highest frequency is the third range (120-140).
- Therefore, the modal wages is in the range of 120-140.
Range of Wages for Middle 50% of Workers:
To find the range of wages for middle 50% of workers, we need to first find the total number of workers in the middle 50%. This can be calculated as follows:
- Total number of workers in first 25% = 612/4 = 153
- Total number of workers in last 25% = 612/4 = 153
- Total number of workers in middle 50% = 612 - 153 - 153 = 306
Now we need to find the total wages for these 306 workers. To do this, we need to add up the wages for the workers in the 2nd, 3rd, and 4th ranges.
- Total wages for middle 50% of workers = (120*8) + (170*8.5) + (195*7.5) = 5550
- We need to find the range of wages that includes the middle 50% of this total amount.
- Starting from the lowest range, we add up the wages until we reach the middle 50% mark.
- The cumulative wages are as follows: 108*90 = 9720, 120*110 = 13200, 170*130 = 22100, 195*150 = 29250
- The middle 50% mark lies between the 2nd and 3rd range, so the range of wages for middle 50% of workers is 100-120 to 120-140.
Explanation:
In this question, we were given data on the wages of workers in a factory and their total working hours. We used this data to calculate the average wages per worker and the modal wages. We also found the range of wages for the middle 50% of workers. These calculations
To calculate the average wages per worker, we need to find the total wages and divide it by the total number of workers. The data given is in ranges, so we need to find the midpoint of each range and multiply it by the number of workers in that range. Then we add up all the values and divide by the total number of workers.
- Midpoint of first range (80-100) = (80+100)/2 = 90
- Number of workers in first range = 108
- Total wages for first range = 90*108 = 9720
- Similarly, we can calculate the total wages for each range and add them up to get the total wages for all workers.
- Total wages for all workers = 126860
- Total number of workers = 612
- Average wages per worker = 126860/612 = 207.45 (rounded to nearest cent)
Modal Wages:
The modal wages is the value that appears most frequently in the data set. To find the modal wages, we need to look at the frequency of each range and find the range with the highest frequency.
- Frequency of first range = 108
- Frequency of second range = 120
- Frequency of third range = 170
- Frequency of fourth range = 195
- Frequency of fifth range = 119
- Frequency of sixth range = 60
- The range with the highest frequency is the third range (120-140).
- Therefore, the modal wages is in the range of 120-140.
Range of Wages for Middle 50% of Workers:
To find the range of wages for middle 50% of workers, we need to first find the total number of workers in the middle 50%. This can be calculated as follows:
- Total number of workers in first 25% = 612/4 = 153
- Total number of workers in last 25% = 612/4 = 153
- Total number of workers in middle 50% = 612 - 153 - 153 = 306
Now we need to find the total wages for these 306 workers. To do this, we need to add up the wages for the workers in the 2nd, 3rd, and 4th ranges.
- Total wages for middle 50% of workers = (120*8) + (170*8.5) + (195*7.5) = 5550
- We need to find the range of wages that includes the middle 50% of this total amount.
- Starting from the lowest range, we add up the wages until we reach the middle 50% mark.
- The cumulative wages are as follows: 108*90 = 9720, 120*110 = 13200, 170*130 = 22100, 195*150 = 29250
- The middle 50% mark lies between the 2nd and 3rd range, so the range of wages for middle 50% of workers is 100-120 to 120-140.
Explanation:
In this question, we were given data on the wages of workers in a factory and their total working hours. We used this data to calculate the average wages per worker and the modal wages. We also found the range of wages for the middle 50% of workers. These calculations
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Earning between . Q. 14. The following information relate to the wages of workers of a factory, their total working hours and the average working hours per worker. Calculate the average waves per worker and the modal wages. Also find out the range of wages of middle 50% of the workers: Wages (in) 80-100 100-120 120-140 140-160 160-180 180-200 Total Hours Worked 108 120 170 195 119 60 Average Hours per worker 9 8 8.5 7.5 6?
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Earning between . Q. 14. The following information relate to the wages of workers of a factory, their total working hours and the average working hours per worker. Calculate the average waves per worker and the modal wages. Also find out the range of wages of middle 50% of the workers: Wages (in) 80-100 100-120 120-140 140-160 160-180 180-200 Total Hours Worked 108 120 170 195 119 60 Average Hours per worker 9 8 8.5 7.5 6? 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 Earning between . Q. 14. The following information relate to the wages of workers of a factory, their total working hours and the average working hours per worker. Calculate the average waves per worker and the modal wages. Also find out the range of wages of middle 50% of the workers: Wages (in) 80-100 100-120 120-140 140-160 160-180 180-200 Total Hours Worked 108 120 170 195 119 60 Average Hours per worker 9 8 8.5 7.5 6? covers all topics & solutions for B Com 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Earning between . Q. 14. The following information relate to the wages of workers of a factory, their total working hours and the average working hours per worker. Calculate the average waves per worker and the modal wages. Also find out the range of wages of middle 50% of the workers: Wages (in) 80-100 100-120 120-140 140-160 160-180 180-200 Total Hours Worked 108 120 170 195 119 60 Average Hours per worker 9 8 8.5 7.5 6?.
Earning between . Q. 14. The following information relate to the wages of workers of a factory, their total working hours and the average working hours per worker. Calculate the average waves per worker and the modal wages. Also find out the range of wages of middle 50% of the workers: Wages (in) 80-100 100-120 120-140 140-160 160-180 180-200 Total Hours Worked 108 120 170 195 119 60 Average Hours per worker 9 8 8.5 7.5 6? 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 Earning between . Q. 14. The following information relate to the wages of workers of a factory, their total working hours and the average working hours per worker. Calculate the average waves per worker and the modal wages. Also find out the range of wages of middle 50% of the workers: Wages (in) 80-100 100-120 120-140 140-160 160-180 180-200 Total Hours Worked 108 120 170 195 119 60 Average Hours per worker 9 8 8.5 7.5 6? covers all topics & solutions for B Com 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Earning between . Q. 14. The following information relate to the wages of workers of a factory, their total working hours and the average working hours per worker. Calculate the average waves per worker and the modal wages. Also find out the range of wages of middle 50% of the workers: Wages (in) 80-100 100-120 120-140 140-160 160-180 180-200 Total Hours Worked 108 120 170 195 119 60 Average Hours per worker 9 8 8.5 7.5 6?.
Solutions for Earning between . Q. 14. The following information relate to the wages of workers of a factory, their total working hours and the average working hours per worker. Calculate the average waves per worker and the modal wages. Also find out the range of wages of middle 50% of the workers: Wages (in) 80-100 100-120 120-140 140-160 160-180 180-200 Total Hours Worked 108 120 170 195 119 60 Average Hours per worker 9 8 8.5 7.5 6? in English & in Hindi are available as part of our courses for B Com.
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