FreeStatisticalTools.com
10 free tools

Descriptive Statistics and Chart Makers

Start every analysis by describing your data. These calculators summarize variables, check whether they are normally distributed, and convert test statistics into probabilities, so you can choose the right test and report it correctly.

Descriptive Statistics Calculator

Use descriptive statistics to summarise each variable before any inferential test, and to describe your sample in the participants section. Report the mean and standard deviation for roughly symmetric variables, the median and IQR for skewed ones, and counts with percentages for categorical variables.

Pie Chart Maker and Frequency Table

Use a pie chart to show how a whole divides into a few categories (ideally six or fewer). Use a bar chart when there are many categories or you want to compare them precisely.

Box Plot Maker (Box and Whisker Plot)

Use box plots to compare the centre, spread and skew of several groups or variables at a glance, and to spot outliers before running tests.

Histogram Maker

Use a histogram to see the shape of a continuous variable: its centre, spread, skew and any gaps or outliers. Try a few bin counts, because the shape can change with the bin width.

Scatter Plot Maker

Use a scatter plot to check the form, direction and strength of a relationship between two numeric variables before computing a correlation or regression.

Bar Graph with Error Bars

Use a bar graph with error bars to present group means in a report or poster. State which error bar you used, because SD, SE and CI bars mean different things.

Shapiro-Wilk Normality Test Calculator

Run a normality test on the dependent variable (or on residuals) before a t-test, ANOVA or Pearson correlation. Shapiro-Wilk is the most powerful test for samples up to a few thousand.

Confidence Interval Calculator

Use a confidence interval to show the precision of an estimate. The margin of error is half the width of the interval.

Z-Score Calculator

Use z-scores to compare values measured on different scales or to locate a score within a normal distribution.

P-Value Calculator

Use this when you have a test statistic and degrees of freedom but no p-value. F and chi-square tests are always right-tailed.

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