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Unlike mean and median, the concept of mode also makes sense for "nominal data" (i.e., not consisting of numerical values in the case of mean, or even of ordered values in the case of median). For example, taking a sample of Korean family names , one might find that " Kim " occurs more often than any other name.
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If you calculate the mode (2), the mean (2.9) and the median (2.5) for this sample data set, you will already know the answer to the original question: mode < median < mean. You can think out the solution, too! First, try to figure out the relationship between mode and median. Imagine that we are chopping off the right side of the x-axis.
Averages. In statistics, an average is defined as the number that measures the central tendency of a given set of numbers.There are a number of different averages including but not limited to: mean, median, mode and range. Mean. Mean is what most people commonly refer to as an average.
In general, mean, median, mode and range should ideally all be computed and analyzed for a given sample or data set since they elucidate different aspects of the given data, and if considered alone, can lead to misrepresentations of the data, as will be demonstrated in the following sections.
Mean (or average) and median are statistical terms that have a somewhat similar role in terms of understanding the central tendency of a set of statistical scores. While an average has traditionally been a popular measure of a mid-point in a sample, it has the disadvantage of being affected by any single value being too high or too low compared to the rest of the sample.