Introduction to experimental units statistics:

The experimental units statistics is branch of the applied mathematics. The data units are analysis from experiments. Statistics is the proper science of creating effective use of numerical data connecting to collections of individuals or experimental. It contract with all aspects of this, including not only the group, analysis and understanding of such data, but also the preparation of the collection of data. In this article we will study about experimental units statistics with help of example problems.

 

Experimental Units Statistics:

 

The experimental units statistics contains standard deviation, mean, median, mode and range.

Standard deviation:

The given numbers are 91, 97,88,66,55.

Standard deviation formula is as follows,

S=`sqrt((sum_(i=1)^n (x-m)^2) / (n-1))`

     Now find the mean value. (Because solve the standard deviation).

     X=  `(91+97+88+66+55)/(5)` 

         = `397/5`

      X = 79.4.

a

a-79.4

(a-79.4)2

91

11.6

134.56

97

17.6

309.76

88

8.6

73.96

66

-13.4

179.56

55

-24.4

595.36

Total

 

1293.2

 

      S=`(x-m)^2/(n-1)`

       =`(1293.2)/(5-1)` 

     = 323.2.

     Standard deviation is 17.98.

These are example in standard deviation for experimental units statistics.

 

More examples for Experimental Units Statistics:

 

Let us we will solve examples in mean, median, mode and range for experimental units statistics.

Mean:

Mean is the sum of values divided by the number of given data in the given numbers.

Compute the mean for following numbers.

200, 345, 147, 98.

=`790/4`

=197.5.

Median:

In experimental units statistics, Median means center values.

Median means center values.

The given values are 45,30,61,77,89,85,22.

Now sort the numbers in ascending orders.

22,30,45,61,77,85,89.

So, the median value is 61.

Mode:

In experimental units statistics, in the given values most repeated value is known as mode.

The given values are 700,321,785,985,742,213,321,523.

In the given values 321 is repeated.

So, the mode value is 321.

 Range:

The range is defined as difference among smallest value and maximum value.

The given values are 100, 32,40,70,93,52,63,12.

In this given numbers highest value is 100.

Then smallest value is 12.

So the range is,

100 - 12

=88.

These are mode, mean, range and median examples in experimental units statistics.

That's all about experimental units statistics.