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Q: What are the benefits of representing data sets using frequency distribution?
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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


What are the advantages of using a frequency distribution?

Frequency distributions can: C condense and summarize large amounts of data in a useful format C describe all variable types C facilitate graphic presentation of data C begin to identify population characteristics C permit cautious comparison of data sets


For the normal distribution does it always require a continuity correction?

Use the continuity correction when using the normal distribution to approximate a binomial distribution to take into account the binomial is a discrete distribution and the normal distribution is continuous.


What are the Advantages and disadvantages of normal distribution?

One advantage of using normal distribution is that there are less errors. A disadvantage of normal distribution is that it can not be interpreted to terms of probabilities.


What are advantages and disadvantages of normal distribution?

One advantage of using normal distribution is that there are less errors. A disadvantage of normal distribution is that it can not be interpreted to terms of probabilities.