Mean Definition by tutorvista Team

Mean Definition Mean Definition 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. Know More About Weighted Average Formula Math.Tutorvista.com

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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? 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.

Learn More Find the Median

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Median Definition Median Definition Median is an interesting topic in probability and statistics. It is the average value of given numbers. It can be allocated in their ascending order. It is a finite list of numbers. It can be found by arranging the given elements from the smallest value to largest value and picking the center elements. To find the Median, place the observations in ascending order and find the middle number. But if there are two middle numbers, find the average of those two numbers. Calculating Median Given below are the steps to be followed while calculating median: The steps are as follows : The given observation can be arranged in an ascending order If the given set has an odd number then the median is the middle number. If it is an even number then it is the average of the middle two numbers. Median Example Example 1: Find the Median for a given set of numbers 18, 22, 15, 20 and 27. Math.Tutorvista.com

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Solution: The given set of numbers: 18, 22, 15, 20 and 27 Arrange the numbers in the ascending order 15, 18, 20, 22, and 27 The given set has an odd number of value. So the middle number is the median. The center number is 20. So the median is 20. Example2: Find the median for the given set of numbers 88, 100, 115, 75, 67, 96 and 87. Solution: Arrange the numbers in ascending order 67, 75, 87, 88, 96, 100 and 115 The given set has an odd number of value. So the middle number is the median. The center number is 88. So the median is 88.