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If v is the variance and σ is the standard deviation, then
- a)v2 = σ
- b)v = σ2
- c)v = 1/σ
- d)v = 1/σ2
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
If v is the variance and σ is the standard deviation, thena)v2 =...
Explanation:
Relationship between Variance and Standard Deviation
- The variance (v) is a measure of the dispersion or spread of a set of data points.
- The standard deviation (σ) is the square root of the variance and provides a more intuitive understanding of the spread of data.
Mathematical Relationship
- The formula to calculate the standard deviation is:
σ = sqrt(v)
- Squaring both sides of the above equation gives:
σ^2 = v
Conclusion
- Therefore, the correct relationship between the variance (v) and the standard deviation (σ) is:
v = σ^2
- Hence, option 'b' is the correct answer to the given question.
Relationship between Variance and Standard Deviation
- The variance (v) is a measure of the dispersion or spread of a set of data points.
- The standard deviation (σ) is the square root of the variance and provides a more intuitive understanding of the spread of data.
Mathematical Relationship
- The formula to calculate the standard deviation is:
σ = sqrt(v)
- Squaring both sides of the above equation gives:
σ^2 = v
Conclusion
- Therefore, the correct relationship between the variance (v) and the standard deviation (σ) is:
v = σ^2
- Hence, option 'b' is the correct answer to the given question.
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If v is the variance and σ is the standard deviation, thena)v2 = σb)v = σ2c)v = 1/σd)v = 1/σ2Correct answer is option 'B'. Can you explain this answer?
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If v is the variance and σ is the standard deviation, thena)v2 = σb)v = σ2c)v = 1/σd)v = 1/σ2Correct answer is option 'B'. Can you explain this answer? for JEE 2025 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about If v is the variance and σ is the standard deviation, thena)v2 = σb)v = σ2c)v = 1/σd)v = 1/σ2Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for JEE 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If v is the variance and σ is the standard deviation, thena)v2 = σb)v = σ2c)v = 1/σd)v = 1/σ2Correct answer is option 'B'. Can you explain this answer?.
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