Worksheet for Skewness Calculation

Skewness used to find out the asymmetry of the probability distribution of a real-valued random variable. This Math worksheet help you to understand how to calculate the skewness for the given value. The steps to be followed are,

1. Calculate standard deviation and mean
2. Subtract the mean from each raw score
3. Raise each of these deviations from the mean to the third power and sum
4. Calculate skewness, which is the sum of the deviations from the mean, raise to the third power, divided by number of cases minus 1, times the standard deviation raised to the third power


The formula used to calculate skewness is,
Skewness Formula
For example
To find the skewness whose inputs are 5,20,40,80,100
Total Inputs (N) = 5

Mean:
Mean (xm) = (x1+x1+x2...xn )/N
Mean (xm)= 245/5
Mean (xm)= 49

Standard deviation:
SD = sqrt(1/(N-1)*((x1-xm)2+(x2-xm)2+..+(xn-xm)2))
   =sqrt(1/(5-1)((5-49)2+(20-49)2+(40-49)2+(80-49)2+(100-49)2))
   =sqrt(1/4((-44)2+(-29)2+(-9)2+(31)2+(51)2))
   =sqrt(1/4((1936)+(841)+(81)+(961)+(2601))
   =sqrt(1605)
   =40.0625

Skewness Formula
Skewness = ((5 - 49) + (20 - 49) + (40 - 49) + (80 - 49) + (100 - 49))3/ (5 - 1) x (40.0625)3
   = 52140/257201.875
   = 0.2027

Skewness value for the given data is 0.2027

When you try such calculations on your own, this skewness calculator can be used to verify the results of your calculations.


Similar Worksheets  Worksheet for Standard Deviation Calculation
 Worksheet for Vector Cross product Calculation
 Worksheet for Vector Dot / Scalar product Calculation
 Polygon Angles Calculation Worksheet
 Worksheet for how to Calculate Antilog
 Worksheet for Binary to Decimal, Hexa and Octal number conversion
 Worksheet for how to Calculate Permutations nPr and Combination nCr
 Math Worksheet to find n Factorial value
 Math Worksheet to calculate Polynomial Addition
 Worksheet for how to find out Z Score Value

  Statistics  
Math Worksheets