What is the difference between population and sample standard deviation?

Population standard deviation divides by N (the total number of values), while sample standard deviation divides by N-1 to correct for bias. Use sample when your data is a subset of a larger population.

What are the measures of central tendency?

The three main measures are mean (average of all values), median (middle value when sorted), and mode (most frequently occurring value). Each gives a different perspective on the center of your data.

How is variance different from standard deviation?

Variance is the average of squared deviations from the mean. Standard deviation is the square root of variance, putting it back in the original units of measurement, making it easier to interpret.

Descriptive Statistics Calculator

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About Descriptive Statistics Calculator

Enter a dataset and get a complete statistical summary — mean, median, mode, standard deviation, variance, and range — with step-by-step formulas shown for each measure. Great for AP Statistics homework, data analysis assignments, or reviewing core concepts.

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FAQ

Is this statistics calculator free?

Yes! The Statistics Calculator provides free step-by-step solutions for descriptive statistics, z-scores, probability distributions, and hypothesis tests. No account required.

What types of statistics problems can it calculate?

It covers descriptive statistics (mean, median, mode, standard deviation, quartiles), z-score calculations with probability lookups, normal and t-distributions, and hypothesis tests including z-tests, t-tests, and proportion tests.

How are the step-by-step solutions generated?

Solutions are generated using scipy.stats and precise mathematical formulas. Unlike AI chatbots, every calculation is deterministic and mathematically guaranteed to be correct.

Can I see graphs and distribution curves?

Yes! Solutions include visual bell curves with shaded probability regions, making it easy to understand z-scores, p-values, and distribution areas at a glance.

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