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A day full of math games & activities. Find one near you.
A sample of n = 25 scores have M = 20 and s2 = 9. What is the sample standard deviation?
Solution:
Given, n = 25 scores which means that there are 25 samples having M = 20, which is the arithmetic mean(A.M) of these samples, and s2 = 9 is the variance of these samples.
Standard deviation is the square root of the variance.
Therefore, s2 = 9 ⇒ s = 3
(where, s denotes sample standard deviation, σ)
Also, Standard error of the sample S(E) = Sample standard variance/√number of samples
⇒ σ/√n = 3/5 = 0.6
A sample of n = 25 scores have M = 20 and s2 = 9. What is the sample standard deviation?
Summary:
The sample standard deviation of a sample of n = 25 scores have M = 20 and s2 = 9 is 3 and the Standard error of sample S(E) is 0.6.
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