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Consider two data sets A and B. The sets are identical except the high value of the data set B is three times greater than the high value of data set A.


a) How do the median of the two data sets compare?

(b) How do the means of the two data sets compare?

(c) How do the standard deviations of the two data sets compare?

(d) How do the box- and –whisker plots of the two data sets compare?


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Answer :

The median of the two data sets compares as they will be the same.

How is the median illustrated?

The medians are the same because the median is the value such that 50% of the data points are higher and 50% are lower. Therefore, the actual value of the highest element doesn't affect the median.

The mean of set B is greater and the standard deviation of B is higher because the highest element is further from the mean. Also, the boxes are the same if the center line is the median since the interquartile range is the same.

Learn more about median on:

https://brainly.com/question/26151333

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