Pengertian Diagram Pencar - Matematika Wajib SMA Kelas XI Kurikulum Merdeka

Hi okay Assalamualaikum warahmatullahi wabarakatuh, friends, you are back on the basement channel in this video we will enter new material, namely statistics, compulsory mathematics material for 11th grade high school, Merdeka curriculum for the semester.

maybe in the last 10 classes it has been studied about statistics, the size of data distribution, now we will discuss more further, the first thing we will discuss is about the diagram of the gap, or it is also known as the scatter diagram, what is it like, first we discuss the understanding first, what and how is the gap diagram, the gap diagram or

or scatter diagram is also called a wide diagram or scatter plot, which is a diagram used when we need to provide data consisting of two quantitative variables or often called bivariate data. This is what is called a scatter diagram.

What is the purpose of the search diagram? The search diagram is used to show whether there is a correlation between two quantitative variables in the bivariate data. So that's the purpose, we will analyze the correlation between two quantitative variables.

Usually these two variables are called free variables, which are symbolized by X or and the associated variable which is symbolized by Y. So here are some of the styles that you should understand first before going any further.

in the material of this search diagram, here there is a correlation, yes, or usually known as the term of the relationship. Well, we will also find out later how the correlation is between two quantitative variables, yes, which we will draw on the search diagram later. Then there is the term of the free variable, yes, and there is also the term of the variable

So all of these terms you must understand and know first. Well, besides the free variables and the related variables that are symbolized by X and Y, usually written in the Cartesian field, namely the source X and the source Y, there are other names too, from the X and Y variables that are commonly used.

here we just give the table so there are several names of the X and Y variables besides the free and linked variables there are also those that use independent variables or dependent variables so usually different books, different interpreters usually use different languages then it is also commonly called stimulus variables and response variables

then it can also be said that the input variable or the output variable is known as the predictor variable and the last criteria variable is the antecedent variable and the consequent variable

names from the X and Y variables, only the common free variables and this series or usually the often also independent variables and variable dependent so if you have a language like this it indicates another name from the X and Y variables, so that's a little understanding of the diagram of the gap

After knowing what a split diagram is, what is the shape like? Usually a split diagram looks like this. So there are points that are split.

Hi, in the diagram, we will know the relationship or relation of two variables, yes, the free variable and the close one, which one was said earlier, the free variable is at the source X, so here there is a clarification of the percentage of graduation of this high school, so that is what is said as the free variable, yes, then the percentage of poverty in the source Y is what is said as

variable of the series, so this is the elements that we need to understand first in the diagram of the cross, then the other form of the cross diagram is usually written in this form, if the first one was only the coordinate of the points, but it is not set, there is no

line that shows that the point coordinates are the coordinates of X and Y, so the point coordinates are just the coordinates, then sometimes they are also written in this form. This is the general one, yes, this is using a book of boxes, so this actually makes it easier for us to

to draw the diagram of the gap that exists, so maybe a suggestion for friends when studying this gap diagram must have a book of boxes because later we will mostly draw the gap diagram in the field of Cartesius, for example, the second one earlier is the same, so if there is a form like this, that is what is said as a gap diagram

Now after knowing what a split diagram is, what do we want to do? We will try to draw it. So the second one, we will try to draw a split diagram from the data given by the bifariate.

The diagram of the survey itself can be done in two ways to draw it can be done manually can also be done with the help of Microsoft Excel but here we will discuss the manual first

manually, the diagram can be drawn with the following steps we give the steps so that it is easy for you to draw the diagram step by step first we have to determine the variable bbox first or the variable x and the variable of the string this is important because when it is changed, it will be wrong until the end

because later we will draw a conclusion from the data we made the diagram so this really has to be correct which one is a free variable and which one is a bound variable later we will explain further how to differentiate between free variables and bound variables

the second we make the horizontal source, the x-source and the straight source as the source, so we will draw in the cartesian field, then after the x-source and the y-source are there, we divide the two sources by the same scale, yes, in each source, the distance of the value is like that, the fourth divides the number scale that makes up the whole value in

data, yes, to the X and Y data variables that are usually presented in the form of a table, then the last one we draw a pair of points of coordinates that exist, namely X and Y in the field of Cartesian coordinates. Now, this is more or less five steps to draw a diagram of a cross from

a data in the period is usually given in the form of a table, yes, yes, it's clear, the steps, yes, we immediately use the steps that exist in solving problems that exist, especially drawing a cross diagram. The first example is

Here is information about the number of visitors and book sales in some exhibition stands on the first day presented in the following table. Usually the data is like this, written in the form of a table as we said at the beginning.

that this is still a continuation of the class 10 material where in class 10 we analyze the data that is presented in the form of a table. Well, there is still a continuation, it turns out, which we will study in class 11. Well, if there is a data like this, how to draw the diagram of the cross? Well, we have already discussed the steps, so let's apply them one by one. What was the first step? We first determine the free variables and the

the associated variables for the simpler free variables are usually the ones that affect yes if it changes then the associated variables also change. Now let's see here there are two yes variables, many visitors and book sales, which one is about to affect one another

Of course there are many visitors, because here it is a demonstration, it means that the more visitors, the higher the possibility of book sales, so many visitors affect the book sales. It is impossible that the book sales will increase, it will affect many visitors.

it's impossible to get the book sales revenue depending on the visitors there are many visitors are said to be free variables that affect the associated variables so we say the free variables written in the x-sum

is the number of visitors in the data that is presented. If the free variables are many visitors, then the associated variables are written in the source Y, which is the book sales. So, this is very important. The first step in analyzing the data.

Okay, the second step is to make the sumbo flat as sumbo X and sumbo straight as sumbo Y. That means we use the Cartesius field. As I said earlier, for easier use, we use the box book.

the brain, so we don't need to draw a line again, yes, to determine the coordinate points later, so determine the horizontal axis first, yes, this means this is about it as an axis X and the vertical axis as an axis Y, yes, then the next step

Oh yes, this is the determination of the free and binding variables, free variables in the X column, so in the X column we say that is the data of the many visitors or the free variables, then in the Y column is the data of the book sales, which is the binding variable, yes, yes, yes,

Next step 3 to 4 is actually the same, step 3 makes the distance, the scale on each sum, this is already there, the scale is already there, the distance is already there, just go straight to step 4, which is to divide the number scale that fits all the data values ​​on the variable extents, which means the data that is on this table,

So in sumbo X there are many visitors, so we see here, here it is still sharp, every stun has different visitors, so we see first to determine the scale, the distance here is how much, so we see the smallest and largest data.

the smallest value here is 20 and the largest is 29 so the scale we will use here is to try to enter the smallest and largest data so that we can take the number that is less than the smallest data and more than the largest data here the smallest is 20, so we assume here 0 as the center point, we start from 17

17, 19, 21, and 31. The distance is 22, 22. It means that here 17, 18. In the middle here, it means 18. 19, it means here 20. And so on. It means that the smallest and largest data enter this scale.

okay then the sales data we see the same analysis as well as the smallest and largest value how much is the smallest 79 the largest is 88 so we make a scale to set the distance here yes at the source Y means we can use here

the distance starts from 77 yes 77 79 must be the same because here the difference is 22 yes then here the distance is also 22 with a record of the application, the term fits all the values ​​in the data that is here data

the smallest value of the closest variable is 79, does it fit? yes it does then the largest value is 88, does it fit? yes it does we take some values, above the largest value and below the smallest value that's clear, that's the meaning of the fourth step, dividing the number scale that fits all data values ​​in the X and Y variables

then the last step is to draw a pair of points of coordinates that exist, meaning from many visitors and book sales, so here the first pair of points is 22 and

82 so this means the coordinate x,y is like that, x is 22, it means here, y is 82, it means here, so the meeting point is more or less here, so it's like that, okay, then the second data pair, the second pair of points, namely 28

.86 where is it? It means more or less here, yes, 28 86, yes, the third 24.81 means where is it here, yes, here there are 23 and 25, so 24 is in the middle, yes,

then next 26.88 where is that about? more or less here next there is 20.79 20 means in the middle again 79 means it's right here

the coordinate point, then next 27.85 where is it more or less there, yes, next there is 29.83 the coordinate is here, yes, it's

Okay then next there is 23.80 23.80 means here yes then next 25.82 where is the 25 already here 82 means in the middle here yes yes the last 29.86 where is it yes there yes so these are all the points

which is there, yes, then this is what is called a pressure diagram. Well, the first image is also the first example, the first line is not there, it is lost, so this is usually the most common, yes, the

the current one means to find what to find the coordinate points, so these are the steps to draw a diagram of the current from a data in the area, yes, it's clear, okay, now later to analyze the relationship or relationship between the two variables that exist

we will try to discuss in the next video, maybe here first our explanation about what is a gap diagram and how to draw a gap diagram from a bivariate data, hopefully useful and understandable, wait for the other material discussion in the next video, of course, stay motivated and always perform