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Define cumulative frequency

Updated: 4/28/2022
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14y ago

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You just need to add up the frequency total one by one to find the cumulative frequency of a certain set of data.

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14y ago
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Q: Define cumulative frequency
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How many types are there of frequency distribution?

Introduction:Frequency distribution is used to compress and summarize the whole data by grouping the data into classes and records the data points that fall in each class. The frequency distribution is considered as the base for descriptive statistics and they are also used to define the ordinal, nominal and the interval data. Frequency distribution is the comfortable way of grouping and organizing the data.Example of Frequency Distribution:Consider the frequency table for the students in a class where the data has been grouped according to the height of the students. Range of height Total number of student's cumulative frequency3.0 - 4.5 feet 15 154.5 - 5.0 feet 20 355.0 - 6.5 feet 25 506.5 - 7.0 feet 30 80In the case of nominal data the use of the contingency table is required. The frequency distributions are used to present the data graphically.Types of Frequency Distributions:There are three types of frequency distributions. Cumulative frequency distribution,Grouped frequency distribution,Cumulative Grouped frequency distribution.Cumulative frequency distribution (type 1):The cumulative frequency can be found from the frequency distribution by adding the cumulative frequency column. The highest cumulative frequency should be equal to the total number of frequenciesTemperature Frequency Cumulative frequency47 3 2246 3 1945 4 1544 3 1243 3 9Grouped frequency distribution (type 2):The grouped frequency distribution can be formed by grouping the values together into the class intervals. The range can be calculated using the maximum and the minimum values.Data set for temperature45 48 47 43 4442 45 43 46 4645 47 46 47 4543 47 45 47 4644 43 44 46 47The grouped frequency distribution is given byClass interval midpoint frequency45- 47 46 1542 - 44 43 7Cumulative grouped frequency distribution (type 3):In cumulative frequency distribution the cumulative frequency column is added to the grouped frequency distribution so that we can get the cumulative grouped frequency distribution.Class interval midpoint frequency Cumulative frequency45- 47 46 15 2242 - 44 43 7 7


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