Using it's concept, it is found that:
- The mean absolute deviation is 1.45.
- The values differ from the mean by an average of 1.45.
What is the mean absolute deviation of a data-set?
- The mean of a data-set is given by the sum of all observations divided by the number of observations.
- The mean absolute deviation of a data-set is the sum of the absolute value of the difference between each observation and the mean, divided by the number of observations.
- The mean absolute deviation represents the average by which the values differ from the mean.
In this problem, the mean of the data-set is given by:
M = (4.6 + 8.5 + 7.2 + 6.6 + 5.1 + 6.2 + 8.1 + 10.3)/8 = 7.075.
Hence, the mean absolute deviation is given by:
MAD = (|4.6-7.075| + |8.5-7.075| + |7.2-7.075| + |6.6-7.075| + |5.1-7.075| + |6.2-7.075| + |8.1-7.075| + |10.3-7.075|)/8 = 1.45
Then:
- The mean absolute deviation is 1.45.
- The values differ from the mean by an average of 1.45.
More can be learned about the mean absolute deviation at https://brainly.com/question/3250070
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