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Measures of central tendency

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Measures of central tendency
Measures of central tendency help you find the middle, or the average, of a dataset.
- The 3 most common measures of central tendency are the mode, median, and mean.
- The central tendency is stated as the statistical measure that represents the single value of the entire distribution or a dataset.
- The 3 most common measures of central tendency are the mode, median, and mean.
Mean
- The mean represents the average value of the dataset.
- It can be calculated as the sum of all the values in the dataset divided by the number of values
- In symmetric data distribution, the mean value is located accurately at the centre
- But in the skewed continuous data distribution, the extreme values in the extended tail pull the mean value away from the centre.
- So it is recommended that the mean can be used for the symmetric distributions.
- But in the skewed continuous data distribution, the extreme values in the extended tail pull the mean value away from the centre.
- In symmetric data distribution, the mean value is located accurately at the centre
- It can be calculated as the sum of all the values in the dataset divided by the number of values
- The mean represents the average value of the dataset.
Median
- Is the value of the given data-set that is the middle-most observation, obtained after arranging the data in ascending order is called the median of the data.
- The major advantage of using the median as a central tendency is that it is less affected by outliers and skewed data.
- We can calculate the median for different types of data, grouped data, or ungrouped data using the median formula.
- The major advantage of using the median as a central tendency is that it is less affected by outliers and skewed data.
- Is the value of the given data-set that is the middle-most observation, obtained after arranging the data in ascending order is called the median of the data.
Mode
- Mode is one of the measures of the central tendency, defined as the value which appears most often in the given data
- the observation with the highest frequency is called the mode of data.
- The mode for grouped data or ungrouped data can be calculated using the mode formulas
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