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If Standard Deviation = 20 and sample size is 100 then standard error of mean is
- a)2
- b)5
- c)1/5
- d)None of these
Correct answer is option 'A'. Can you explain this answer?
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Verified Answer
If Standard Deviation = 20 and sample size is 100 then standard error ...
standard error of mean = standard deviation / sqrt(sample size )
= 20 / sqrt(100)
= 20 / 10
= 2
Most Upvoted Answer
If Standard Deviation = 20 and sample size is 100 then standard error ...
Standard Deviation (SD) and Standard Error of Mean (SE)
Standard deviation (SD) measures the variability or dispersion of a data set, while the standard error of the mean (SE) measures the precision or accuracy of the estimate of the population mean.
Formula for calculating standard deviation (SD) is:
SD = √(Σ(x - x̄)² / N)
where:
- Σ represents the sum of the values
- x is each individual value in the data set
- x̄ is the mean of the data set
- N is the sample size
Formula for calculating standard error of mean (SE) is:
SE = SD / √N
where:
- SD is the standard deviation
- N is the sample size
Given Information
Standard deviation (SD) = 20
Sample size (N) = 100
Calculating the Standard Error of Mean (SE)
Using the formula for standard error of mean (SE), we can calculate it as follows:
SE = SD / √N
SE = 20 / √100
SE = 20 / 10
SE = 2
Therefore, the standard error of mean (SE) is 2.
Conclusion
The correct answer is option 'A' (2). The standard error of mean (SE) is 2 when the standard deviation (SD) is 20 and the sample size is 100.
Standard deviation (SD) measures the variability or dispersion of a data set, while the standard error of the mean (SE) measures the precision or accuracy of the estimate of the population mean.
Formula for calculating standard deviation (SD) is:
SD = √(Σ(x - x̄)² / N)
where:
- Σ represents the sum of the values
- x is each individual value in the data set
- x̄ is the mean of the data set
- N is the sample size
Formula for calculating standard error of mean (SE) is:
SE = SD / √N
where:
- SD is the standard deviation
- N is the sample size
Given Information
Standard deviation (SD) = 20
Sample size (N) = 100
Calculating the Standard Error of Mean (SE)
Using the formula for standard error of mean (SE), we can calculate it as follows:
SE = SD / √N
SE = 20 / √100
SE = 20 / 10
SE = 2
Therefore, the standard error of mean (SE) is 2.
Conclusion
The correct answer is option 'A' (2). The standard error of mean (SE) is 2 when the standard deviation (SD) is 20 and the sample size is 100.
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If Standard Deviation = 20 and sample size is 100 then standard error of mean isa)2b)5c)1/5d)None of theseCorrect answer is option 'A'. Can you explain this answer?
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If Standard Deviation = 20 and sample size is 100 then standard error of mean isa)2b)5c)1/5d)None of theseCorrect answer is option 'A'. Can you explain this answer? 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 If Standard Deviation = 20 and sample size is 100 then standard error of mean isa)2b)5c)1/5d)None of theseCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If Standard Deviation = 20 and sample size is 100 then standard error of mean isa)2b)5c)1/5d)None of theseCorrect answer is option 'A'. Can you explain this answer?.
If Standard Deviation = 20 and sample size is 100 then standard error of mean isa)2b)5c)1/5d)None of theseCorrect answer is option 'A'. Can you explain this answer? 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 If Standard Deviation = 20 and sample size is 100 then standard error of mean isa)2b)5c)1/5d)None of theseCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If Standard Deviation = 20 and sample size is 100 then standard error of mean isa)2b)5c)1/5d)None of theseCorrect answer is option 'A'. Can you explain this answer?.
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