Video: Choosing the Appropriate Measure of Central Tendency

A data set has 20 different values: 18 of the values are between 10 and 20 but 2 of the values are greater than 40. Which measure of central tendency would better represent a typical value of the data set? [A] The mean, because it considers all the data values [B] The median, because it is less affected by the outliers [C] The mode, because it is a robust statistic.

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Video Transcript

A data set has 20 different values 18 of the values are between ten and 20, but two of the values are greater than 40. Which measure of central tendency would better represent a typical value of the data set? A) The mean, because it considers all the data values B) The median, because it is less affected by the outliers, or C) The mode, because it’s a robust statistic.

So we have 20 values. And 18 of the 20 are between ten and 20. So that’s almost all of them except two of the values are actually greater than 40, which means they are more than double all of the other values. We would consider those two values outliers.

So if we want a measure of central tendency that would better represent a typical value of the data set, we don’t want to really pay close attention to those outliers because that really kinda skews the data set.

So we do not want to take consider of the data values. What we would want would be the median because it is less affected by the outliers. This would give us a good representation of a typical value of the data set.

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