The Standard Deviation Calculator computes key statistical measures for any dataset. It calculates both population and sample standard deviation, variance, mean, median, range, and sum.
Enter your data values separated by commas and get comprehensive statistics instantly. The calculator clearly shows the difference between population and sample calculations.
Your calculations will appear here
Standard deviation measures how spread out values are from the mean. A low standard deviation means data points cluster near the mean; a high standard deviation means they are more dispersed.
The calculation involves: (1) find the mean, (2) subtract the mean from each value and square the result, (3) find the average of those squared differences (variance), (4) take the square root. For a sample, divide by N-1 instead of N to correct for bias.
Problema: Find the standard deviation of {2, 4, 4, 4, 5, 5, 7, 9}
Solucion: Mean = 40/8 = 5. Variance = ((2-5)^2 + (4-5)^2 + ... + (9-5)^2) / 8 = 4. SD = sqrt(4)
Respuesta: SD = 2
Problema: For the sample {3, 7, 7, 19}, find the sample standard deviation
Solucion: Mean = 36/4 = 9. Sum of squared deviations = 36+4+4+100 = 144. Sample variance = 144/3 = 48
Respuesta: Sample SD = 6.93
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