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The mode of the following distribution is 66 what would be the median wage 30 to 40 40 to 50 50 to 60 60-70 70 to 80 80 to 90 number of workers 8 16 22 28 test and 12?
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The mode of the following distribution is 66 what would be the median ...
Calculating the Median Wage from a Frequency Distribution
Given Data:
- 30 to 40: 8 workers
- 40 to 50: 16 workers
- 50 to 60: 22 workers
- 60 to 70: 28 workers
- 70 to 80: 12 workers
- 80 to 90: ? (not given)
Step 1: Find the Total Number of Workers
To find the median wage, we need to first find the total number of workers in the given distribution. We can do this by adding up the number of workers in each category.
Total number of workers = 8 + 16 + 22 + 28 + 12 + ? (not given)
Step 2: Find the Median Class
The median class is the class interval that contains the median value. To find the median class, we need to first calculate the cumulative frequency of the distribution.
Cumulative frequency table:
- 30 to 40: 8 workers
- 40 to 50: 16 + 8 = 24 workers
- 50 to 60: 22 + 24 = 46 workers
- 60 to 70: 28 + 46 = 74 workers
- 70 to 80: 12 + 74 = 86 workers
- 80 to 90: ? (not given)
The median class is the class interval that contains the middle value, which is (total number of workers + 1) / 2 = (96 + 1) / 2 = 48.5. Therefore, the median class is the 50th worker, which falls in the 50 to 60 class interval.
Step 3: Calculate the Median Wage
To calculate the median wage, we need to use the following formula:
Median = Lm + ((n/2 - Fm) / fm) x i
Where:
- Lm = lower class boundary of the median class (50 to 60)
- n = total number of workers (96)
- Fm = cumulative frequency of the class before the median class (24)
- fm = frequency of the median class (22)
- i = class width (10)
Plugging in the values, we get:
Median = 50 + ((48.5 - 24) / 22) x 10
Median = 50 + (24.5 / 22) x 10
Median = 50 + 11.14
Median = 61.14
Therefore, the median wage is 61.14.
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The mode of the following distribution is 66 what would be the median wage 30 to 40 40 to 50 50 to 60 60-70 70 to 80 80 to 90 number of workers 8 16 22 28 test and 12?
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The mode of the following distribution is 66 what would be the median wage 30 to 40 40 to 50 50 to 60 60-70 70 to 80 80 to 90 number of workers 8 16 22 28 test and 12? for CA Foundation 2024 is part of CA Foundation preparation. The Question and answers have been prepared according to the CA Foundation exam syllabus. Information about The mode of the following distribution is 66 what would be the median wage 30 to 40 40 to 50 50 to 60 60-70 70 to 80 80 to 90 number of workers 8 16 22 28 test and 12? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The mode of the following distribution is 66 what would be the median wage 30 to 40 40 to 50 50 to 60 60-70 70 to 80 80 to 90 number of workers 8 16 22 28 test and 12?.
The mode of the following distribution is 66 what would be the median wage 30 to 40 40 to 50 50 to 60 60-70 70 to 80 80 to 90 number of workers 8 16 22 28 test and 12? for CA Foundation 2024 is part of CA Foundation preparation. The Question and answers have been prepared according to the CA Foundation exam syllabus. Information about The mode of the following distribution is 66 what would be the median wage 30 to 40 40 to 50 50 to 60 60-70 70 to 80 80 to 90 number of workers 8 16 22 28 test and 12? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The mode of the following distribution is 66 what would be the median wage 30 to 40 40 to 50 50 to 60 60-70 70 to 80 80 to 90 number of workers 8 16 22 28 test and 12?.
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