Question

A)Identify the OUTLIER in this set of data:

b) Describe how the outlier affects the mean, median, and mode of this data set. Be specific!!
10,32,3,12,20,30,36,32,74,26,16,7,20,33

Answer 1

The outlier in this set of data is 74. The outlier affects the mean, median, and mode of this data set in the following ways:

Mean: The outlier has a large impact on the mean of this data set, as it is much higher than the rest of the data points. This will increase the value of the mean, making it higher than the median and mode.

Median: The outlier has a moderate impact on the median of this data set, as it is higher than the rest of the data points. This will slightly increase the value of the median, making it higher than the mode but lower than the mean.

Mode: The outlier has a minimal impact on the mode of this data set, as it is not a part of the mode. The mode remains unchanged and is lower than the median and mean.

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