Example 1
\(\text{Data: } 1, 2, 3, 4, 5 \rightarrow \bar{x} = 3, M = 3, \sigma \approx 1.58\)
Descriptive Statistics
Calculate comprehensive descriptive statistics for datasets
Results
Enter values and click Calculate to see the result.
Statistical Measures
Statistics help us understand and summarize data sets. The main measures include:
- Mean: The average value (sum ÷ count)
- Median: The middle value when data is sorted
- Mode: The most frequently occurring value(s)
- Range: The difference between maximum and minimum values
- Standard Deviation: Measures how spread out the data is from the mean
- Variance: The square of the standard deviation
- Quartiles: Values that divide the data into four equal parts
This calculator supports various input formats including simple data lists, frequency tables, and grouped data to accommodate different statistical scenarios.
\(\bar{x} = \frac{\sum x}{n}, \sigma^2 = \frac{\sum(x - \bar{x})^2}{n}, \sigma = \sqrt{\sigma^2}\)
Worked Examples
Example 2
\(\text{Data: } 10, 20, 30, 40, 50 \rightarrow \bar{x} = 30, M = 30, R = 40\)