Analyze data with interactive statistical tools and visualizations
Enter numbers separated by commas:
Test if data follows a normal distribution
Calculate confidence interval for the mean
Fit a line to your data (if applicable)
Statistics is the science of collecting, analyzing, and interpreting data. It helps us understand patterns, make predictions, and draw conclusions from information.
\bar{x} = \frac{\sum x_i}{n}
Sum of all values divided by number of values
Middle value when data is sorted
For odd n: middle value
For even n: average of two middle values
Most frequently occurring value(s)
May have multiple modes or no mode
\sigma = \sqrt{\frac{\sum (x_i - \bar{x})^2}{n}}
Measures spread of data around the mean
Shows frequency distribution of continuous data using bars
Displays quartiles, median, and outliers
Shows trends and patterns over time or sequence
Shows proportions of categorical data
Bell-shaped curve where most data clusters around the mean
f(x) = \frac{1}{\sigma\sqrt{2\pi}} e^{-\frac{1}{2}(\frac{x-\mu}{\sigma})^2}
Process of making inferences about populations from samples
Range of values that likely contains the true population parameter
\bar{x} \pm z \times \frac{\sigma}{\sqrt{n}}
Dataset: 12, 15, 18, 22, 25
Look at the current dataset statistics above and answer:
1. Is the data skewed?
2. What does the standard deviation tell us?