Home > Statistical Methods calculators > Sample Variance, Standard deviation and coefficient of variation for grouped data calculator

Method and examples
Find Sample Variance, Standard deviation and coefficient of variation for grouped data
 Type your data in either horizontal or verical format, for seperator you can use '-' or ',' or ';' or space or tab for sample click random button OR X & Frequency   Class & Frequency Rows : Click On Generate
 Find Mean Find Quartile Find Median Find Deciles Find Mode Find Percentiles Find Population Variance (sigma^2) Find Sample Variance (S^2) Find Population Standard deviation (sigma) Find Sample Standard deviation (S) Find Population Coefficient of Variation Find Sample Coefficient of Variation Find Population Skewness Find Sample Skewness Find Population Kurtosis Find Sample Kurtosis Find Geometric mean Find Harmonic mean

Standard deviation sigma formula -
1. Auto Select method
2. Method-1 : sigma = sqrt((sum f*x^2 - (sum f*x)^2/n)/n)
3. Method-2 : sigma = sqrt((sum f*d^2 - (sum f*d)^2/n)/n) * h
1.  Class 2 - 4 4 - 6 6 - 8 8 - 10 Frequency 3 4 2 1
2.  Class 20 - 25 25 - 30 30 - 35 35 - 40 40 - 45 45 - 50 Frequency 110 170 80 45 40 35
3.  Class 10 - 20 20 - 30 30 - 40 40 - 50 50 - 60 60 - 70 70 - 80 Frequency 15 25 20 12 8 5 3
4.  X 0 1 2 3 4 Frequency 1 5 10 6 3
5.  X 10 11 12 13 14 Frequency 3 12 18 12 3
6.  X 1.75 1.72 1.73 1.76 1.71 1.8 1.87 2.34 Frequency 3 2 4 5 6 2 7 1
7.  X 0 1 2 3 4 Frequency 27 9 7 5 2
8.  X 0 1 2 3 4 Frequency 17 9 6 5 3
9.  Class -40 - -30 -30 - -20 -20 - -10 -10 - 0 0 - 10 10 - 20 20 - 30 30 - 40 Frequency 7 10 10 20 57 23 13 10
10.  Class 0 - 2 2 - 4 4 - 6 6 - 8 8 - 10 10 - 12 Frequency 5 16 13 7 5 4
11.  Class 0 - 2 2 - 4 4 - 6 6 - 8 8 - 10 10 - 12 Frequency 2 7 12 19 9 1
12.  Class 15 - 20 20 - 25 25 - 30 30 - 35 35 - 40 40 - 45 45 - 50 50 - 55 55 - 60 Frequency 3 9 14 20 35 9 6 2 2
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