Frequency Table Frequency Table Frequency table is used widely in the statistics. It is used for listing the items in a tabular form respectively with individual frequency. Frequency means how many times a particular item is appearing in a list. The frequency tables are classified in to two types such as univariate frequency table and joint frequency table. The frequency table is the tabular arrangement of the data that shows the frequency of each observation, means tabular representation of frequency distribution is called the frequency table. Let’s take a simple example for the Frequency Table: We have following data and we have to represent this data in the form of frequency table. 5, 2, 3, 3, 1, 5, 1, 2, 5, 1, 1. First of all we will arrange the data in ascending order then we will get 1, 1, 1, 1, 2, 2, 3, 3, 5, 5, 5. For counting we use tally marks and we use this ‘|’, for one count we use ‘?’and for two counts we use ‘??’ and so on.
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Let’s see the univariate frequency table representation with the solution: We have some students with their marks now we need to find the number of those students who got more than 40 marks, more than 71, Less than 71 more than 56. Score Frequency Below 25 there are 7 students. 26 – 40 there are 5 students whose marks lie between this interval. 41 – 55 there are 3 students whose marks lie between this interval. 56 – 70 there are 9 students whose marks lie between this interval. 71 – 85 there are 4 students whose marks lie between this interval. 86 – 100 there is 2 students whose marks lie between this interval. Solution: More than 40 = 3 + 9 + 4 + 2 = 18 More than 71 = 4 + 2 = 6 Now take an example of joint frequency table with the solutions. We have a table that shows four students with their three subjects marks and total too. Find those students who have highest total and lowest total. The student who has highest total is Jay = 156
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And student who has lowest total marks is Justin = 110 Frequency distribution is of two types: i) Exclusive form: It is also known as the continuous form. In this each upper limit of each class is excluded and lower limit is included. Such as 0 - 10, 10 - 20, 20 – 30, etc. In class 0 – 10 we include 0 and exclude 10. In class 10 – 20, we include 10 and exclude 20 and so on. ii) Inclusive form: It is also known as the discontinuous form. In this each upper limit as well as lower limit is included. Such as 0 – 10, 11 – 20, 21 – 30. Both 0 and 10 are included and so on. Both the forms are used in frequency table representation.
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