Introduction to weighted mean calculator:
Weighted mean is nothing but the same as that of arithmetic mean, where as each of the data given is contributed equally to the weighed value. If all the weighted values are equal, then the weighed mean is equal to the arithmetic mean. Weighted mean basically behaves like a similar fashion to the arithmetic mean. The term weighted mean can also be called as weighted arithmetic mean or weighted harmonic mean . Here we are going to see about the weighted mean calculator and the example problems related to it.
Weighted Mean Calculator:
Here given a calculator for calculating the weighted mean statistics for the given set of data.
Procedure for calculating the weighted mean calculator.
Give the input for the observed field and the weighted value field.
Now click on the calculate button to find the result of the given data set.
Definition of Weighted Mean:
Weighted mean statistics is defined as the summation of the observed values multiplied with the allocated weights which is divided by the summation of the observed values. This is called as the statistics weighted mean.
Formula for the weighted mean statistics is given by,
`""""barx_w = (sum_(i=1)^ n (w_i x_i)) / (sum_(i=1)^n w_i) `
where as
`barx_w` This is the weighted mean variable
`w_i` This is the allocated weighted value for the given data.
`x_i` This is the observed values for the given data.
Steps for solving Statistics weighted mean using calculator:
Calculate the summation for the allocated weighted value and observed value of the given data set.
Calculate the summation for all observed values of the given data set.
Now make the division for the above two calculated values from the given data set.
Weighted Mean Calculator - Example Problems:
weighted mean calculator - Problem:
Calculate the weighted mean for the given data as the observed values 22, 24, 26, 28 and the allocated weights are 10, 20, 30, 40.
Solution:
Weighted Mean:
Formula for Statistical weighted mean is given by,
`"barx_w = (sum_(i=1)^ n (w_i x_i))/(sum_(i=1)^n w_i) `
= `((10)(22)+(20)(34)+(30)(26)+(40)(28))/ (10+20+30+40) `
= `2800 / 100`
`barx_w` = 28
I am planning to write more post on 9th class cbse sample papers. Keep checking my blog.
Weighted Mean Calculator - Practice Problems:
Problem 1:
Calculate the weighted mean from the observed values 65, 70, 85, 90 and the allocated weights are 60, 70, 80, 90.
Answer: weighted average = 81.3333
Problem 2:
Calculate the weighted mean for the given data as the observed values 10, 20, 30, 40 and the allocated weights are 15, 20, 25, 30.
Answer: weighted average = 25
Weighted mean is nothing but the same as that of arithmetic mean, where as each of the data given is contributed equally to the weighed value. If all the weighted values are equal, then the weighed mean is equal to the arithmetic mean. Weighted mean basically behaves like a similar fashion to the arithmetic mean. The term weighted mean can also be called as weighted arithmetic mean or weighted harmonic mean . Here we are going to see about the weighted mean calculator and the example problems related to it.
Weighted Mean Calculator:
Here given a calculator for calculating the weighted mean statistics for the given set of data.
Procedure for calculating the weighted mean calculator.
Give the input for the observed field and the weighted value field.
Now click on the calculate button to find the result of the given data set.
Definition of Weighted Mean:
Weighted mean statistics is defined as the summation of the observed values multiplied with the allocated weights which is divided by the summation of the observed values. This is called as the statistics weighted mean.
Formula for the weighted mean statistics is given by,
`""""barx_w = (sum_(i=1)^ n (w_i x_i)) / (sum_(i=1)^n w_i) `
where as
`barx_w` This is the weighted mean variable
`w_i` This is the allocated weighted value for the given data.
`x_i` This is the observed values for the given data.
Steps for solving Statistics weighted mean using calculator:
Calculate the summation for the allocated weighted value and observed value of the given data set.
Calculate the summation for all observed values of the given data set.
Now make the division for the above two calculated values from the given data set.
Weighted Mean Calculator - Example Problems:
weighted mean calculator - Problem:
Calculate the weighted mean for the given data as the observed values 22, 24, 26, 28 and the allocated weights are 10, 20, 30, 40.
Solution:
Weighted Mean:
Formula for Statistical weighted mean is given by,
`"barx_w = (sum_(i=1)^ n (w_i x_i))/(sum_(i=1)^n w_i) `
= `((10)(22)+(20)(34)+(30)(26)+(40)(28))/ (10+20+30+40) `
= `2800 / 100`
`barx_w` = 28
I am planning to write more post on 9th class cbse sample papers. Keep checking my blog.
Weighted Mean Calculator - Practice Problems:
Problem 1:
Calculate the weighted mean from the observed values 65, 70, 85, 90 and the allocated weights are 60, 70, 80, 90.
Answer: weighted average = 81.3333
Problem 2:
Calculate the weighted mean for the given data as the observed values 10, 20, 30, 40 and the allocated weights are 15, 20, 25, 30.
Answer: weighted average = 25
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