Statistics Symbols Hub 8 Symbols

Statistics Symbols

Explore our complete math symbols list and interactive keyboard to lookup meanings, LaTeX codes, and UTF-8 characters for statistics symbols. Sample and population statistics including sample mean, standard deviation, hypothesis tests, p-values, and chi-square.

Statistics Symbols Table & Meanings

Complete reference table of Statistics Symbols
Action Symbol Name Meaning Example LaTeX Unicode
x̄ Sample Mean (X-Bar) Arithmetic average of data points in a sample. x̄ = (∑ x_i) / n \bar{x} U+0078 U+0304
s Sample Standard Deviation Standard deviation computed across sample observations with n−1 denominator. s = \sqrt{\frac{\sum (x_i - \bar{x})^2}{n - 1}} s U+0073
s² Sample Variance Unbiased estimate of population variance from sample data. s² = 16 ⟹ s = 4 s^2 U+0073 U+00B2
H₀ Null Hypothesis Default baseline assumption tested in statistical hypothesis testing (no effect/no difference). H₀: μ = 50 H_0 U+0048 U+2080
H₁ Alternative Hypothesis The alternative claim accepted when the null hypothesis is rejected. H₁: μ ≠ 50 H_1 \text{ or } H_a U+0048 U+2081
χ² Chi-Square Test statistic used for tests of independence and goodness of fit. χ² = ∑ (O − E)² / E \chi^2 U+03C7 U+00B2
p p-Value Probability of obtaining results at least as extreme as observed data under H₀. p < 0.05 \implies \text{reject } H_0 p U+0070
r Pearson Correlation Coefficient Linear correlation between two variables, ranging from −1 to +1. r = 0.92 (strong positive correlation) r U+0072

Statistics Symbols FAQ

What is the difference between sample mean (x̄) and population mean (μ)?

x̄ (x-bar) represents the sample mean computed from a subset of observations. μ (Greek mu) represents the true, often unknown, population parameter mean.

What do H₀ and H₁ represent in hypothesis testing?

H₀ (H-naught) denotes the null hypothesis of no effect or no difference. H₁ or Hₐ denotes the alternative hypothesis that researchers seek evidence to support.