Find the mean absolute deviation of the following data set round your answer to the nearest tenth 204, 211, 216, 300, 426, 567, 680 a $159.1 b 151 C 372 d 72.3
The mean absolute deviation is the average of the absolute differences between each data point and the mean of the data set.
First, we calculate the mean of the data set:
mean = (204 + 211 + 216 + 300 + 426 + 567 + 680) / 7
mean = 240.43
Next, we find the absolute differences between each data point and the mean:
|204-240.43| = 36.43
|211-240.43| = 29.43
|216-240.43| = 24.43
|300-240.43| = 59.57
|426-240.43| = 185.57
|567-240.43| = 326.57
|680-240.43| = 439.57
Now, we find the mean of the absolute differences:
Mean Absolute Deviation = (36.43 + 29.43 + 24.43 + 59.57 + 185.57 + 326.57 + 439.57) / 7
Mean Absolute Deviation = 159.4
Rounded to the nearest tenth, the mean absolute deviation is 159.4. None of the provided answer choices are correct.