Skewness Calculator
Calculate the skewness of your dataset to measure the asymmetry of its distribution. Enter your data as comma-separated values to determine whether it's symmetric, left-skewed, or right-skewed.
Sample Skewness:
Skew = [n/((n-1)(n-2))] Ć Ī£[(Xi-XĢ)/s]Ā³
Interpretation:
ā¢ Skew = 0: Symmetric distribution
ā¢ Skew > 0: Right-skewed (tail on right)
ā¢ Skew < 0: Left-skewed (tail on left)
Skew = [n/((n-1)(n-2))] Ć Ī£[(Xi-XĢ)/s]Ā³
Interpretation:
ā¢ Skew = 0: Symmetric distribution
ā¢ Skew > 0: Right-skewed (tail on right)
ā¢ Skew < 0: Left-skewed (tail on left)
Example: Data [1,2,3,3,3,4,5]
Mean = 3, SD = 1.15
Standardized cubes: negative sum
Skewness ā 0
Interpretation: Nearly symmetric
(Mean ā Median ā Mode = 3)
Mean = 3, SD = 1.15
Standardized cubes: negative sum
Skewness ā 0
Interpretation: Nearly symmetric
(Mean ā Median ā Mode = 3)
š Related Calculators
š Formula
Sample Skewness:
Skew = [n/((n-1)(n-2))] Ć Ī£[(Xi-XĢ)/s]Ā³
Interpretation:
ā¢ Skew = 0: Symmetric distribution
ā¢ Skew > 0: Right-skewed (tail on right)
ā¢ Skew < 0: Left-skewed (tail on left)
Skew = [n/((n-1)(n-2))] Ć Ī£[(Xi-XĢ)/s]Ā³
Interpretation:
ā¢ Skew = 0: Symmetric distribution
ā¢ Skew > 0: Right-skewed (tail on right)
ā¢ Skew < 0: Left-skewed (tail on left)
š Example Calculation
Example: Data [1,2,3,3,3,4,5]
Mean = 3, SD = 1.15
Standardized cubes: negative sum
Skewness ā 0
Interpretation: Nearly symmetric
(Mean ā Median ā Mode = 3)
Mean = 3, SD = 1.15
Standardized cubes: negative sum
Skewness ā 0
Interpretation: Nearly symmetric
(Mean ā Median ā Mode = 3)