# Find the mean value of the data not grouped and grouped in the frequency table

In
practice in this century, knowing and mastering the basics of statistics is an
absolutely necessary means of understanding what is meant by "statistical
measures". Based on experience and reality it has been proven that the
progress of each science is very dependent on the amount of quantitative data
that is accurate and correct and can be compared (up to date).

Concrete quantitative data can reduce errors to a minimum, also people can
verify and write a long descriptive can be replaced by precision mathematical
calculations in a nutshell

In
this article, we will learn about statistical measures, namely the Centering
Measures, in which there are methods often used in a simple statistical
analysis such as average, median, and mode.

One
statistical task is to find a value around which the values in a distribution
are centered, the value or point at the center of a distribution can be called
the Central Tendency. Many statistical data calculations currently use computer
aids such as the use of SPSS, SAS, MATLAB software, and more.

But it
should be remembered that there are still other supporting tools, namely human
interpretation: insight into thinking, critical assessment and rational
interpretation are also important tools rather than computer mastery in
assessing situations.

### THE MEAN

The
arithmetic mean or middle value, with the symbols µ (for populations) and x̅
(for samples) is one measure of concentration. Because of its easy to learn
characteristics, this middle value plays an important role in inferential
statistics.

The
middle value that we are going to talk about is divided into two, namely
between the middle value of data that is not grouped and the middle value of
grouping.

### The Mean Value For Non Grouped

If x is a random variable with observations of x

_{1}, x_{2}, …, x_{n}, the mean value is
For
example, we will find the mean value of the number of insurance claims every
month for a year with the data as follows;

30,
25, 45, 56, 20, 31, 23, 40, 35, 56, 45, 43.

From
these data we can find the total number of insurance claims for a year is Σx =
30 + 25 + 45 + 56 + 20 + 31 + 23 + 40 + 35 + 56 + 45 + 43 = 449

Because
there are 12 months a year, then n = 12. So the average mean number of
insurance claims for a year is:

### The Mean Value For Non Grouped

After compiling data in a frequency table, we can find Measures of the Center of the Data or the centralized tendency of the data. Measures of the Center of the Data itself is one measure of the location of the data, both a population and a sample.

What is meant by grouped data here is data that has been simplified in the frequency table. The formula used to calculate the intermediate value of group data is:

Note:

f

_{i}= frequency in the i-class
x

_{i}= middle class in the i-class
c = class interval

for example, we need data to be used as a frequency table for example Number of Insurance Claims at Company X.

x̅ = 28470/50 = 569.4

So the mean value of the number of claims in the Insurance X company is 569.4.

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