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 x1, x2, …, xn , 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:
fi = frequency in the i-class
xi= 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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