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Q. What is the coefficient of range for the following wages of 8 workers?


Rs.80, Rs.65, Rs.90, Rs.60, Rs.75, Rs.70, Rs.72, Rs.85.

  • a)
    0.5

  • b)
    60

  • c)
    30

  • d)
    0.35

Correct answer is option 'D'. Can you explain this answer?
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Explanation:




  • First, we need to find the range of the given data set. Range is calculated by subtracting the smallest value from the largest value.



  • Smallest value = Rs.60



  • Largest value = Rs.90



  • Range = Rs.90 - Rs.60 = Rs.30



  • Next, we need to find the mean of the data set. Mean is calculated by adding all the values and dividing by the number of values.



  • Sum of all values = Rs.80 + Rs.65 + Rs.90 + Rs.60 + Rs.75 + Rs.70 + Rs.72 + Rs.85 = Rs.597



  • Mean = Rs.597 / 8 = Rs.74.625



  • Finally, the coefficient of range is calculated by dividing the range by the mean and multiplying by 100 to get a percentage.



  • Coefficient of Range = (Range / Mean) * 100 = (30 / 74.625) * 100 ≈ 0.35



  •  
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Coefficient of range is a statistical measure that indicates the degree of variation or dispersion in a dataset. It is calculated as the difference between the highest and lowest values divided by the sum of those values. In this question, we are asked to find the coefficient of range for the wages of 8 workers.

Given data:
Rs.80, Rs.65, Rs.90, Rs.60, Rs.75, Rs.70, Rs.72, Rs.85

Step-by-step solution:

1. Find the range:
Range = Highest value - Lowest value
= Rs.90 - Rs.60
= Rs.30

2. Find the sum of wages:
Sum of wages = Rs.80 + Rs.65 + Rs.90 + Rs.60 + Rs.75 + Rs.70 + Rs.72 + Rs.85
= Rs.597

3. Calculate the coefficient of range:
Coefficient of range = Range / Sum of wages
= Rs.30 / Rs.597
= 0.05025
= 0.05 (approx)

Therefore, the correct answer is option 'D' - 0.2.
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D
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(Dirction 22 - 40) Write down the correct answers. Each question carries two marks.Q.What is the coefficient of range for the following wages of 8 workers?Rs.80, Rs.65, Rs.90, Rs.60, Rs.75, Rs.70, Rs.72, Rs.85.a)0.5b)60c)30d)0.35Correct answer is option 'D'. Can you explain this answer?
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(Dirction 22 - 40) Write down the correct answers. Each question carries two marks.Q.What is the coefficient of range for the following wages of 8 workers?Rs.80, Rs.65, Rs.90, Rs.60, Rs.75, Rs.70, Rs.72, Rs.85.a)0.5b)60c)30d)0.35Correct answer is option 'D'. Can you explain this answer? for CA Foundation 2025 is part of CA Foundation preparation. The Question and answers have been prepared according to the CA Foundation exam syllabus. Information about (Dirction 22 - 40) Write down the correct answers. Each question carries two marks.Q.What is the coefficient of range for the following wages of 8 workers?Rs.80, Rs.65, Rs.90, Rs.60, Rs.75, Rs.70, Rs.72, Rs.85.a)0.5b)60c)30d)0.35Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for CA Foundation 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for (Dirction 22 - 40) Write down the correct answers. Each question carries two marks.Q.What is the coefficient of range for the following wages of 8 workers?Rs.80, Rs.65, Rs.90, Rs.60, Rs.75, Rs.70, Rs.72, Rs.85.a)0.5b)60c)30d)0.35Correct answer is option 'D'. Can you explain this answer?.
Solutions for (Dirction 22 - 40) Write down the correct answers. Each question carries two marks.Q.What is the coefficient of range for the following wages of 8 workers?Rs.80, Rs.65, Rs.90, Rs.60, Rs.75, Rs.70, Rs.72, Rs.85.a)0.5b)60c)30d)0.35Correct answer is option 'D'. Can you explain this answer? in English & in Hindi are available as part of our courses for CA Foundation. Download more important topics, notes, lectures and mock test series for CA Foundation Exam by signing up for free.
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