Statistics Calculator
Calculate statistical measures like mean, standard deviation, and variance, and visualize data distributions
Mean
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Standard Deviation
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Variance
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Distribution Graph
About Statistical Measures
Mean: The average of all values in the dataset.
Standard Deviation: Measures the amount of variation or dispersion in the dataset.
Variance: The square of the standard deviation, measuring how far values spread from the average.
Understanding Statistics
Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data. It provides tools for making decisions or predictions based on data, which is essential in many fields including science, business, and government.
Descriptive Statistics
Descriptive statistics summarize and organize characteristics of a data set. A data set is a collection of observations, each of which may include multiple measurements. The most commonly used descriptive statistics include measures of central tendency (mean, median, mode) and measures of variability (standard deviation, variance, range).
Normal Distribution
The normal distribution, also known as the Gaussian distribution, is a probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean. In a normal distribution, about 68% of the data falls within one standard deviation of the mean, about 95% falls within two standard deviations, and about 99.7% falls within three standard deviations.
Applications of Statistics
Statistics is used in a wide variety of fields. In science, statistical methods are used to analyze experimental data and test hypotheses. In business, statistics is used for quality control, forecasting, and market research. In government, statistics is used to analyze census data, economic indicators, and public health information.