Standard Deviation Calculator Standard Deviation Calculator is an online tool to calculate standard deviation of given data. Standard Deviation Calculator is a tool which makes calculations easy and fun. If set of data is given then we can calculate the standard deviation after calculating the mean and variance. Try our volume of Standard Deviation Calculator for free Standard Deviation Calculator and get your problems solved instantly. Step by Step Calculations Step 1 : Use formula for standard deviation, σ = √[(1/N)Σi(xi-μ)2]. Step 2 : Where σ - the standard deviation N - number of data points ; Know More About Free Online Tutoring Math
xi - the random variable where i takes values from 1 to N ; Step 3 : μ- the mean of the data set; Then write the final answer for σ . Example ProblemsBack to Top Calculate the standard deviation for 2,3,4,5,6 ; Step 1 : Use formula for standard deviation; σ = √[(1/N)Σi(xi-μ)2] ; N= 5; Mean = μ =2+3+4+5+65 ; μ = 205 ; μ = 4; Step 2 : Next calculate ( xi - μ )2 ; xi = the random variable ,i.e. 2,3,4,5,6 ; (2-4)2 = 4; (3-4)2 = 1; (4-4)2 = 0; (5-4)2 = 1; (6-4)2 = 4; -----------= 10 ; ------------Σ ( xi - μ )2 = 10; Step 3 : Variance =Σ ( xi - μ )2/N Learn More About Free Online Tutors
Variance = 10/5 ; Variance = 2; Standard deviation = σ = √[(1/N)Σi(xi-μ)2] ; σ = √ [(1/5)2]; Answer : 1.414 Calculate the standard deviation for 10,20,30,40; Step 1 : Use formula for standard deviation; σ = √[(1/N)Σi(xi-μ)2] ; N= 4; Mean = μ = 10+20+30+405 ; μ = 100/4 ; μ = 25; Step 2 : Next calculate ( xi - μ )2 ; xi = the random variable ,i.e. 10,20,30,40 ; (10-25)2 = 225 ; (20-25)2 = 25; (30-25)2 = 25; (40-25)2 = 225; ---------------= 500 ; ---------------Σ ( xi - μ )2 = 500; Step 3 : Variance = Σ ( xi - μ )2/N Variance = 500/4; Variance = 125 ; Standard deviation = σ = √[(1/N)Σi(xi-μ)^2] ; σ = √ [(1/4)125]; Answer : 11.180
Factoring Calculator Factoring Calculator is an online tool to calculate standard deviation of given data. Standard Deviation Calculator is a tool which makes calculations easy and fun. If set of data is given then we can calculate the standard deviation after calculating the mean and variance. Try our volume of Standard Deviation Calculator for free Standard Deviation Calculator and get your problems solved instantly. Step by Step Calculations Step 1 : Use formula for standard deviation, σ = √[(1/N)Σi(xi-μ)2]. Step 2 : Where σ - the standard deviation N - number of data points ;
xi - the random variable where i takes values from 1 to N ; Step 3 : μ- the mean of the data set; Then write the final answer for σ . Example ProblemsBack to Top Calculate the standard deviation for 2,3,4,5,6 ; Step 1 : Use formula for standard deviation; σ = √[(1/N)Σi(xi-μ)2] ; N= 5; Mean = μ =2+3+4+5+65 ; μ = 205 ; μ = 4; Step 2 : Next calculate ( xi - μ )2 ; xi = the random variable ,i.e. 2,3,4,5,6 ; (2-4)2 = 4; (3-4)2 = 1; (4-4)2 = 0; (5-4)2 = 1; (6-4)2 = 4; -----------= 10 ; ------------Σ ( xi - μ )2 = 10; Step 3 : Variance =Σ ( xi - μ )2/N Read More About Free Math Tutor Online
Variance = 10/5 ; Variance = 2; Standard deviation = σ = √[(1/N)Σi(xi-μ)2] ; σ = √ [(1/5)2]; Answer : 1.414 Calculate the standard deviation for 10,20,30,40; Step 1 : Use formula for standard deviation; σ = √[(1/N)Σi(xi-μ)2] ; N= 4; Mean = μ = 10+20+30+405 ; μ = 100/4 ; μ = 25; Step 2 : Next calculate ( xi - μ )2 ; xi = the random variable ,i.e. 10,20,30,40 ; (10-25)2 = 225 ; (20-25)2 = 25; (30-25)2 = 25; (40-25)2 = 225; ---------------= 500 ; ---------------Σ ( xi - μ )2 = 500; Step 3 : Variance = Σ ( xi - μ )2/N Variance = 500/4; Variance = 125 ; Standard deviation = σ = √[(1/N)Σi(xi-μ)^2] ; σ = √ [(1/4)125]; Answer : 11.180
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