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The following data set represents a distribution of quiz scores for a psychology course:

21, 34, 87, 88, 89, 93, 93, 96, 93, 94, 94, 95, 94, 94, 99, 95, 100.

Which measure of central tendency would be least useful in describing this data set?

Answer :

The data set is a distribution of quiz scores for a psychology course: 21, 34, 87, 88, 89, 93, 93, 96, 93, 94, 94, 95, 94, 94, 99, 95, 100. The measure of central tendency that would be least useful in describing this data set is the mode.

Central tendency is a statistical concept that refers to the tendency of data to cluster around a central value. It is divided into three types: mean, median, and mode. Mean: The mean is the most commonly used measure of central tendency, which is computed by adding all of the data values and dividing by the total number of observations in the data set.

Median: The middle value of a data set is known as the median. Arrange the data points in order from smallest to greatest, and then choose the middle value.

Mode: The value that occurs most frequently in a data set is known as the mode. In a data set with many peaks, mode is the best measure of central tendency. If there is only one mode, the data set is referred to as unimodal.

Therefore, from the above data set, the measure of central tendency that would be least useful in describing this data set is mode. The reason is that no single value appears to be repeated most frequently in this dataset.

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