We'll be using the mean, median and sample dot mode commands and also the summary commands for summary dot continuous and a new one called summary dot i MPL. Let's take a look at how to calculate measures of central tendency in RStudio. It's also possible that you could have more than one mode and in some cases, too many modal values for it to be useful. In fact, it's possible that no two values are alike. Some disadvantages may be that the dataset has no modal value. Now an advantage to using the mode is that, it definitely is not affected by extreme values and most likely it's better used with categorical data where we're using count. To find the mode of our preform data, we'll leave it sorted so that we can better see what the most frequently occurring value is, and for our data, the mode is 36. The symbols we use are a capital M with a subscript of zero and for the sample will just use a single value X with a subscript of mode. For a population, the mode would be considered the peak of the population distribution curve. The mode is the most frequently occurring value in a dataset. Another measure of central tendency is the mode. Some disadvantages are that the median doesn't use all of the values to calculate a measure of central tendency so it has some limitations. An advantage of using the median instead of the mean is that it's easier to understand and it's not affected by extreme values because technically it's a measure of a central position. But when we have an even number of values, we take the two middle values and average those together to get the median value. Now, when our dataset has an odd number of values, it'll be the exact middle value. If we take our ungrouped preform dataset and order it from low to high we'll note that the median will be found in the middle. We use the capital M as a symbol for the population value, and an X with a tilde over it for the sample statistic. We were to sort some data from low to high and pick the middle value that's where the median would be. Technically, the median is a measure of position and it's positioned in the middle of a sorted array of data. It's the value at or below which are at or above which 50% of the data fall. Another measure of central tendency is called the median.
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