Example 1
\(\text{Data: } 1, 2, 3, 4, 5 \rightarrow \bar{x} = 3, M = 3, \sigma \approx 1.58\)
Kuvailevan tilastotieteen laskin
Laske kattavia tilastollisia mittareita, mukaan lukien keskiarvo, mediaani, moodi, keskihajonta ja muut
Tulokset
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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
\(\text{Data: } 10, 20, 30, 40, 50 \rightarrow \bar{x} = 30, M = 30, R = 40\)