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Statistics

Basic statistical formulas for mean, median, variance, and standard deviation.

Arithmetic Mean
xˉ=1n∑i=1nxi\bar{x} = \frac{1}{n} \sum_{i=1}^{n} x_i
Weighted Mean
xˉw=∑wixi∑wi\bar{x}_w = \frac{\sum w_i x_i}{\sum w_i}
Median Position
Me=value at n+12Me = \text{value at } \frac{n+1}{2}
Population Variance
σ2=1N∑i=1N(xi−μ)2\sigma^2 = \frac{1}{N} \sum_{i=1}^{N} (x_i - \mu)^2
Standard Deviation (Population)
σ=1N∑i=1N(xi−μ)2\sigma = \sqrt{\frac{1}{N} \sum_{i=1}^{N} (x_i - \mu)^2}
Combinations
Cnk=(nk)=n!k!(n−k)!C_n^k = \binom{n}{k} = \frac{n!}{k!(n-k)!}
Permutations
Pn=n!P_n = n!

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Statistics Formulas - Mathematics | Formulai