CA Foundation Exam  >  CA Foundation Questions  >  If Standard Deviation = 20 and sample size is... Start Learning for Free
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?
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
View all questions of this test
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.
Explore Courses for CA Foundation exam
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?
Question Description
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?.
Solutions 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? 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.
Here you can find the meaning of 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? defined & explained in the simplest way possible. Besides giving the explanation of 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?, a detailed solution 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? has been provided alongside types of 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? theory, EduRev gives you an ample number of questions to practice 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? tests, examples and also practice CA Foundation tests.
Explore Courses for CA Foundation exam

Top Courses for CA Foundation

Explore Courses
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
10M+ students study on EduRev