Use the information about data set A and data set B below to answer the question.
Data set A has a mean of $67$ .
Data set B has a mean of $55$ .
Both data sets have a mean absolute deviation (MAD) of $3$ .
Based on the information, which statement best describes the amount of overlap in the data points between data set A and data set B?
Responses
A Data sets A and B likely have a large amount of overlap in the data points because they have the same MAD.Data sets A and B likely have a large amount of overlap in the data points because they have the same MAD .
B Data sets A and B likely have a large amount of overlap in the data points because the means are separated by $4$ MADs.Data sets A and B likely have a large amount of overlap in the data points because the means are separated by 4 MADs .
C Data sets A and B likely have very little to no overlap in the data points because the means are separated by $4$ MADs.Data sets A and B likely have very little to no overlap in the data points because the means are separated by 4 MADs .
D There is not enough information to approximate the amount of overlap in the data points between data sets A and B.There is not enough information to approximate the amount of overlap in the data points between data sets A and B.
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