what do you ment by central measures of central tendency? breifly explain the the various measursof central tendency
Question
What do you mean by central measures of central tendency? Briefly explain the various measures of central tendency.
Solution
Measures of central tendency are statistical indicators that represent the center point or typical value of a dataset. These measures indicate where most values in a distribution fall and are also referred to as the central location of a distribution. The three most common measures of central tendency are the mean, median, and mode.
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Mean: The mean (or average) is the most common measure of central tendency. It is calculated by adding all the data points in a population and then dividing the total by the number of points. The resulting number is known as the mean.
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Median: The median is the middle score for a set of data that has been arranged in order of magnitude. The median is less affected by outliers and skewed data than the mean, and is usually the preferred measure of central tendency when the distribution is not symmetrical.
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Mode: The mode is the most frequent score in our data set. A set of data may have one mode, more than one mode, or no mode at all. The mode is the only measure of central tendency that can be used with nominal data, which have purely qualitative category assignments.
Each of these measures describes a different indication of the typical or central value in the distribution, and they can often point to different values in the same distribution, depending on if the data is skewed or has outliers.
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