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Variance Calculator: Analyze Data Spread with Population & Sample Options

Explore the power of variance in data analysis with this comprehensive infographic, illustrating its calculation and real-world applications.

Variance tells you how tightly data points cluster around the mean. A low variance (e.g., the S&P 500’s long-run annual variance ≈ 0.035) signals steadier performance (S&P Dow Jones Indices, 2023). Use our tool: paste numbers, pick Population or Sample, press Calculate. It returns mean, variance, and standard deviation, and—if you tick the boxes—step-by-step math plus a frequency chart.

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Correlation Coefficient Calculator: Analyze Relationships Between Variables

Decode the mysteries of correlation coefficients with this comprehensive infographic, illustrating key concepts from -1 to +1.

Our correlation calculator compares two numeric lists, outputs Pearson’s r, an interpretation, and a scatter plot. Paste or upload paired values—e.g., 4, 9, 11, 14 for X and 8, 11, 14, 18 for Y—then click “Calculate”. When |r| ≥ 0.7, the link is considered strong (NIST e-Handbook, https://itl.nist.gov/div898/handbook/eda/section3/eda33b.htm). Use it to confirm trends quickly in school, lab, or business work.

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Correlation Coefficient Calculator: Analyze Relationships Between Variables

Dive into the world of data relationships with this comprehensive infographic on correlation coefficients, from basics to real-world applications.

Calculate how tightly two variables move together with a Pearson correlation coefficient (r). Enter paired numbers, press “Calculate,” and the tool returns r (-1 to +1), an interpretation, and a scatter plot—instantly for up to 1 000 pairs. Roughly 30 data pairs give stable estimates (NIST, 2013). A perfect fit (|r| = 1) means 100 % of the variation is explained by the line (ISO 3534-2:2006).

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