Correlation Definition Correlation Definition Correlation is the sympathetic movement of two or more variables. That is when a change in one variable is generally accompanied by changes in other variables, either in the same or opposite direction, then the variables are said to be correlated. When we have a data where two or more variables are valued then we may study related variation for these variables. We can take an example to understand the term correlation. In data regarding heights and weights of students in a school, we find that students with a greater height would also have a greater weight. Also, students who have lesser height have lesser weight. In the above example, we see related variation among variables and this is termed correlation. Correlation can be of three types 1) Simple correlation 2) Multiple correlation 3) Partial correlation Simple correlation can be defined as a related variation among two variables. Multiple correlation and partial correlation are categorized as related variation among three or more variables. Know More About How to Find Mode
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We say two variables are correlated only when they vary such that the higher values of one variable correspond to the higher values of the other variable, and the lower values correspond to the lower values of the other. We may also say they are correlated when higher value of one variable corresponds with the lower value of the other. The relationship between more than one variable is called as correlation. Correlation is a number which can be used to describe the relationship between two variables. In this article, we discuss correlation with the help of some solved problems. The formula for correlation is as follows, Correlation Analysis In statistics, some times we will have to study the relationship between two or more variables. The statistical technique used to study the relationships between the variables is called the correlation technique. Correlation analysis is the analysis of association between two or more variables. The tendency of two or more variables to vary together directly or inversely is called as correlation. Two variables are said to be correlated, if the change in one of the variable results in a corresponding change in the other variable. That is, when two variables move together, they are said to be correlated.
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Define Mean Define Mean Statistics deal with data analysis. The condensation of data is the first step in rendering comprehensible a long series of individual observations. This was made possible by classifying and tabulating the data and then presenting it in the form of frequency distributions. Once the frequency distributions are formed, the next step is to study their characteristics, so that it can be compared with each other. Frequency distribution may be studied in two ways: 1) By diagrams and graphs 2) By measuring quantitatively. Study by the first method is less accurate and therefore any conclusion drawn from it may not be relied upon to a great extent. So the second method is considered more accurate than the first one as it involves numbers which can be compared easily i.e. which is the greater of any 2 or more given numbers. Therefore it is necessary that such a representative number should truly represent the series.
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For this purpose different authorities have selected those numbers that measure the central tendency of the individual items of the series. The measure of this tendency is called the measure of the central tendency or averages. There are five types of averages which are commonly known: 1. Arithmetic average or mean 2. Median 3. Mode 4. Geometric mean 5. Harmonic mean What is the mean?Back to Top An average or mean, in whatever way it may be defined is merely a particular value of the variable. Therefore it is expressed necessarily in the same unit in which the series is. For example if the variable is a weight in kilogram, the average will also be a weight in kilogram.This type of average is very commonly used in various types of study. It is very easy to calculate. If the marks of a tutorial group of five students are 2, 4, 6, 8 and 10 then to find out average marks of these students, we shall merely add these five values and divide the total. The total number of items in this case is thirty and dividing it by 5 we get 6 which is the statistical mean. This is termed as the arithmetic average or mean of the series. Thus mean in math is calculated by adding values of all the items and dividing their total by the number of items. In the case of discrete and continues series, the values of the frequencies are also taken into account.
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