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Home » Math & Conversions » Algebra » Mean Mean Calculator (Average, Median, Mode, Range) Find the arithmetic **mean (average)**, median, mode, range, and standard deviation of any set of numbers. Enter your data below and click 'Calculate' to see the full statistical breakdown. Enter Your Numbers: Calculate Statistics Mean (Average) - Median - Mode - Range - Variance ($\sigma^2$) - Standard Deviation ($\sigma$) - How to Calculate the Mean (Average) The **Mean**, also known as the arithmetic average, is the most common measure of central tendency. It is calculated using a simple formula: $$ \text{Mean} (\bar{x}) = \frac{\sum x}{n} $$ Where $\sum x$ is the sum of all values in the data set, and $n$ is the count of values. Media vs. Mediana: Quando Usare Quale? **Mean (Media):** Use when your data is symmetrically distributed and does not contain major outliers. It uses every value in the set. **Median (Mediana):** Use when your data is highly skewed by extreme outliers (e.g., in income or housing prices). The median is less affected by these extreme values, providing a better measure of the "typical" center. What is Standard Deviation? The **Standard Deviation** ($\sigma$) is the most widely used measure of data dispersion, or how "spread out" the numbers are from the mean. A low standard deviation means the numbers are tightly clustered around the mean; a high standard deviation means they are widely spread. The **Variance** ($\sigma^2$) is the standard deviation squared. Frequently Asked Questions (FAQ) What is the formula for the Mean (Average)? The formula is: **Mean = Sum of all values ($\sum x$)

Subcategories in Home » Math & Conversions » Algebra » Mean Mean Calculator (Average, Median, Mode, Range) Find the arithmetic **mean (average)**, median, mode, range, and standard deviation of any set of numbers. Enter your data below and click 'Calculate' to see the full statistical breakdown. Enter Your Numbers: Calculate Statistics Mean (Average) - Median - Mode - Range - Variance ($\sigma^2$) - Standard Deviation ($\sigma$) - How to Calculate the Mean (Average) The **Mean**, also known as the arithmetic average, is the most common measure of central tendency. It is calculated using a simple formula: $$ \text{Mean} (\bar{x}) = \frac{\sum x}{n} $$ Where $\sum x$ is the sum of all values in the data set, and $n$ is the count of values. Media vs. Mediana: Quando Usare Quale? **Mean (Media):** Use when your data is symmetrically distributed and does not contain major outliers. It uses every value in the set. **Median (Mediana):** Use when your data is highly skewed by extreme outliers (e.g., in income or housing prices). The median is less affected by these extreme values, providing a better measure of the "typical" center. What is Standard Deviation? The **Standard Deviation** ($\sigma$) is the most widely used measure of data dispersion, or how "spread out" the numbers are from the mean. A low standard deviation means the numbers are tightly clustered around the mean; a high standard deviation means they are widely spread. The **Variance** ($\sigma^2$) is the standard deviation squared. Frequently Asked Questions (FAQ) What is the formula for the Mean (Average)? The formula is: **Mean = Sum of all values ($\sum x$).

Count of values ($n$)**. How do you find the Mode if the list is multimodal? If two or more numbers share the highest frequency, the data set is **multimodal**. For example, in the set $\{1, 1, 2, 3, 3, 4\}$, both 1 and 3 are the modes. Our calculator correctly handles and displays all modes. Related Calculators Median Calculator Mode Calculator Range Calculator Variance Calculator Correlation Calculator Exponent Calculator Logarithm Calculator Sequence Calculator Factoring Calculator
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