Averages Of Data

In math, mean is the average, median is the middle value when data is ordered, mode is the most frequent value, and range is the difference between the highest and lowest values. 

Here's a more detailed explanation:

• Mean (Average):

  • The mean is calculated by summing all the values in a dataset and then dividing by the number of values. 

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  • For example, in the dataset {2, 5, 6, 11}, the mean is (2 + 5 + 6 + 11) / 4 = 24 / 4 = 6. 

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• Median:

  • The median is the middle value in a dataset when the values are arranged in ascending order. 

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  • If there's an even number of values, the median is the average of the two middle values. 

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  • For example, in the dataset {2, 5, 6, 11}, the median is (5 + 6) / 2 = 5.5. 

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• Mode:

  • The mode is the value that appears most frequently in a dataset. 

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  • For example, in the dataset {2, 2, 5, 6, 7, 8}, the mode is 2. 

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  • A dataset can have no mode, one mode, or multiple modes. 

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• Range:

  • The range is the difference between the highest and lowest values in a dataset. 

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  • For example, in the dataset {2, 5, 6, 11}, the range is 11 - 2 = 9.

Mean, median, mode and range calculate the averages of data sets using different methods. Mean is the average of all of the numbers. Median is the middle number, when in order. Mode is the most common number. Range is the largest number minus the smallest number.