New posts in Means

Mean vs. Median: When to Use?

Closed form for the limit of the iterated sequence $a_{n+1}=\frac{\sqrt{(a_n+b_n)(a_n+c_n)}}{2}$

Intuition behind the Geometric Mean

May conjecture AM-GM without positivity $a_{1}a_{2}a_{3}\cdots a_{2n} \le\left(\frac{a_{1}+a_{2}+\cdots+a_{2n}}{2n}\right)^{2n}$

Prove inequality $\arccos \left( \frac{\sin 1-\sin x}{1-x} \right) \leq \sqrt{\frac{1+x+x^2}{3}}$

Iterated means $a_{n+1}=\sqrt{a_n \frac{b_n+c_n}{2}}$, $b_{n+1}$ and $c_{n+1}$ similar, closed form for general initial conditions?

Prove this integral $\int_0^\infty \frac{dx}{\sqrt{x^4+a^4}+\sqrt{x^4+b^4}}=\frac{\Gamma(1/4)^2 }{6 \sqrt{\pi}} \frac{a^3-b^3}{a^4-b^4}$

Repeatedly taking mean values of non-empty subsets of a set: $2,\,3,\,5,\,15,\,875,\,...$

Why square a constant when determining variance of a random variable?

Derivation of mean and variance of Hypergeometric Distribution