Friday, January 18, 2013

Statistical Analysis Mean

Introduction to statistical analysis mean:

Statistical analysis mean is nothing but the same as that of arithmetic average value, where as each of the data given is contributed equally to the given data set. Average value is basically behaves like a similar fashion to the arithmetic mean value. The term statistical mean value can also be called as arithmetic mean value or harmonic mean value . Here we are going to see about how to calculate the statistical analysis mean and the example problems and practice problems related to it.


Definition of Statistical Analysis Mean:

Average value is the statistical data, that is collecting the average value of the total values given in the data set.

Formula for calculating the average value is given by,

`barx ` =` ((sum_(i=1)^n x_i))/N`

Where as

` barx` is the variable for average value

`x_i` is the values of the given data set up to the limit n

Procedure for calculating the statistical analysis of mean:

Get the set of data of the statistical function.
Take sum for all the given values in the data set.
Now divide the summed values of the given data set. by the total number of values in the data set.
The calculated value is the statistical analysis of mean.

Statistical Analysis Mean - Example Problems:

Statistical analysis mean - Problem 1:

Measure the statistical analysis mean for the given data set. 23, 23, 21, 24, 25, 26, 26.

Solution:

Statistical mean:

Formula for calculating the statistical mean is given by ,

`barx ` =` ((sum_(i=1)^n x_i))/N`

= 23 + 23 + 21 + 24 + 25 + 26 + 26
7
`barx ` = 24

Statistical analysis mean - Problem 1:

Measure the statistical analysis mean for the given data set. 3, 3, 1, 4, 5, 6, 6.

Solution:

Statistical mean:

Formula for calculating the statistical mean is given by ,

`barx ` =` ((sum_(i=1)^n x_i))/N`

= 3 + 3 + 1 + 4 + 5 + 6 + 6
7
`barx `  = 4

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Statistical Analysis Mean - :practice Problems:

Problem 1:

Measure the statistical analysis mean for the given data set. 5, 6, 3, 7, 2, 5, 7

Answer:   `barx` = 5

Problem 2:

Measure the statistical analysis mean for the given data set. 25, 26, 23, 27, 22, 25, 27

Answer:   `barx` = 25


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