In statistical mathematics, the concept arithmetic mean which is simply known as mean is a special kind of average. Before studying the concept of mean we need to clearly understand the concept of average. An average is the most basic concept of mathematics from which we all are familiar with them from a very early time. Average is the mathematical concept in which we add the multiple but similar kinds of objects after that divide them by the total number of objects.
In mathematical definition we can define the mean as mean is a mathematical concept which has the central tendency of a collection of numbers taken as the sum of the numbers which is divided by the actual size of the collection. The concept of arithmetic mean has the wide area for use like economics, sociology and history. In probability theory, we perform the concept of mean on the weighted value of the variables. In probability these concept are as mean in probability. They are most widely used in the academic field to some extent. The arithmetic mean can be consider as a set of similar kind of data is found by taking the sum of the data and then dividing the sum by the total numbers of values in the set. According to the above definition we can say that a mean can be consider as an average. In the mathematical notation we can define the arithmetic mean as given below: (know more about cbse books, here)
A = 1 / r ∑j=1r aj
In the above notation ‘A’ refers as a arithmetic mean. ‘aj’ refers to the sum of all the similar objects. Now we show you how to perform the arithmetic by the example:
Example: suppose in the class there are nine students which obtain the marks in the unit test. The numbers are: 18, 14, 16, 14, 13, 21, 13, 13, 13. Now we need to calculate the value of the mean?
Solution: In the above marks are given of nine students:
18, 14, 16, 14, 13, 21, 13, 13, 13
Now arithmetic mean will be
18+14+16+14+13+21+13+13+13 / 9 = 15
Form the above calculation we can say that the mean value of nine students marks is 15 and In the next session we will discuss about Tools of data analysis.
In mathematical definition we can define the mean as mean is a mathematical concept which has the central tendency of a collection of numbers taken as the sum of the numbers which is divided by the actual size of the collection. The concept of arithmetic mean has the wide area for use like economics, sociology and history. In probability theory, we perform the concept of mean on the weighted value of the variables. In probability these concept are as mean in probability. They are most widely used in the academic field to some extent. The arithmetic mean can be consider as a set of similar kind of data is found by taking the sum of the data and then dividing the sum by the total numbers of values in the set. According to the above definition we can say that a mean can be consider as an average. In the mathematical notation we can define the arithmetic mean as given below: (know more about cbse books, here)
A = 1 / r ∑j=1r aj
In the above notation ‘A’ refers as a arithmetic mean. ‘aj’ refers to the sum of all the similar objects. Now we show you how to perform the arithmetic by the example:
Example: suppose in the class there are nine students which obtain the marks in the unit test. The numbers are: 18, 14, 16, 14, 13, 21, 13, 13, 13. Now we need to calculate the value of the mean?
Solution: In the above marks are given of nine students:
18, 14, 16, 14, 13, 21, 13, 13, 13
Now arithmetic mean will be
18+14+16+14+13+21+13+13+13 / 9 = 15
Form the above calculation we can say that the mean value of nine students marks is 15 and In the next session we will discuss about Tools of data analysis.
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