Answer:
the mean absolute deviation for the given data set is 1.86.
Explanation:
To find the mean absolute deviation, we first need to find the mean of the data set.
Mean = (1.25 + 3.50 + 2.55 + 8.20 + 4.80 + 0.30 + 0.75 + 2.25) / 8 = 3.07
Next, we find the absolute deviation of each data point from the mean by subtracting the mean from each data point and taking the absolute value:
|1.25 - 3.07| = 1.82
|3.50 - 3.07| = 0.43
|2.55 - 3.07| = 0.52
|8.20 - 3.07| = 5.13
|4.80 - 3.07| = 1.73
|0.30 - 3.07| = 2.77
|0.75 - 3.07| = 2.32
|2.25 - 3.07| = 0.82
Then, we find the mean of these absolute deviations:
Mean absolute deviation = (1.82 + 0.43 + 0.52 + 5.13 + 1.73 + 2.77 + 2.32 + 0.82) / 8
Mean absolute deviation = 1.86
Therefore, the mean absolute deviation for the given data set is 1.86.