Solve Mean Average Deviation

Introduction to Solve mean average deviation :

Statistics is one of the part in the mathematics and it is a tool that is used to analyze the data. The data values should be in either numeric in origin or it can be transformed from other form into numbers of data. The statistics is used to measure the average, middle value, repeated values, mean difference, mean deviation, variance and also finds the standard deviations in the given data set. Here we are going to see about the solve mean average deviation with some example problems and practice problems on it. I like to share this Mean Deviation with you all through my article.

Definition of Statistics Mean Deviation:

Mean Deviation of the statistics is used to measure of the difference between the given data set and mean value of the given data set and the square of those mean difference.

Steps to calculate mean average deviation:

Step 1: Find the mean for a given set of data.

Step 2: Calculate the difference between the given set of values and with the step 1 result individually.

Step 3 : Now squaring all the values individually.

Step 4: Summing up all the values of step 3.

Step 5: Calculate the average for a result of step 4.

Step 5 is the final result.

For calculating the mean deviation initially we have to measure the mean,

Formula for finding the mean is given by,

` barx`  =  ` (sum_(k=1)^n (x_k)) /N `

where as

`barx` is the symbol for the mean

`x_k` is the given set of values in the data set limits from `sum_(k=1)^n`

` N` is the total number of values in the data set.

Using the mean value mean deviation have to be found Formula for mean deviation is,

Mean Deviation  =`sum_(k=1)^n` `(x_k-barx)^2 / N`

Please express your views of this topic Dividing complex numbers by commenting on blog.

Solve Mean Average Deviation - Example Problems:

Solve mean average deviation - Problem:

Solve the mean deviation statistics of the given data set. 13, 17, 15, 14, 16, 15.

Solution:

Mean :

Formula for calculating the mean  is given by,

` barx` =  ` (sum_(k=1)^n (x_k)) /N `

=  13 + 17 + 15 + 14 + 16 + 15
6
= ` 90/6`

`barx`=  15

Average Deviation = `(sum_(k=1)^n (x_k-barx)^2) / N`
=  4 + 4 + 0 + 1 + 1 + 0
6
= `10/6`

Average Deviation = 1.66666667

Hence the average deviation is founded out from the average daviation formula.

Solve Mean Average Deviation - Practice Problems:

Problem 1:

Calculate the mean deviation statistics of the given data set.  565, 566, 568, 564 , 562, 567, 568.

Answer: Mean deviation = 4.28571429

Problem 2:

Calculate the mean deviation statistics of the given data set. 93, 91, 92, 93, 95, 94 .

Answer: Mean Deviation = 1.66666667.