Define and distinguish among mean, median, and mode. Choose the correct description of the mean below. A. The mean is the most common value in a data set. It is not affected by outliers. B. The mean is the most common value in a data set. It can be strongly affected by outliers. C. The mean is the middle value in a data set. It can be strongly affected by outliers. D. The mean is the sum of all the values divided by the number of values. It can be strongly affected by outliers. E. The mean is the middle value in a data set. It is not affected by outliers. F. The mean is the sum of all the values divided by the number of values. It is not affected by outliers.
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The mean, median, and mode are three measures of central tendency that provide different insights into a data set. The mean is calculated by adding all values and dividing by the number of values, giving a comprehensive average. The median represents the middle value when data is sorted, making it less sensitive to extreme values. Meanwhile, the mode is simply the most frequently occurring value, highlighting popularity within the data. Speaking of the mean, the correct description is D: "The mean is the sum of all the values divided by the number of values. It can be strongly affected by outliers." This means that an outlier could skew the average, making the mean less representative of the overall data set. It's always a good idea to visualize your data to get a better picture!
