The mean of data set A ls 43.5 and the MAD is 3.7. The mean of data set B is 12.8 and the MAD is 4.1. 1. Which data set shows greater variability? Explain your reasoning

Data Set B

Step-by-step explanation:

Mean Absolute Deviation(MAD) can be defined as the distance between one data point (value) to the Mean in a give Data set

It can also be defined as the deviation of the mean from the data points or values given in a data set.

From the above question, we are told that:

The mean of data set A ls 43.5 and the MAD is 3.7.

The mean of data set B is 12.8 and the MAD is 4.1.

Comparing the two Data set, the Mean Absolute Deviation of Data set A is smaller than that of Data set B.

Hence, Data set B shows a greater degree of variability because the distance between a data point(value) and the mean is 4.1. This also means that the data points in Set B are more spread out compared to the data points in Set A.

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step-by-step explanation: