The standard deviation of the binomial distribution with n = 25 and $\pi$ = .50 is 6.25.

Name: The standard deviation of the binomial distribution with n = 25 and $\pi$ = .50 is 6.25.
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The standard deviation of a binomial distribution is given by the formula $\sqrt{n\pi(1-\pi)}$, where $n$ is the number of trials and $\pi$ is the probability of success on each trial. For $n = 25$ and $\pi = .50$, the standard deviation is $\sqrt{25*.50*(1-.50)} = \sqrt{12.5} \approx 3.54$, not 6.25.

The Standard Deviation of the Binomial Distribution with N = π\piπ

The Standard Deviation of the Binomial Distribution with N = $\pi$