Question Find the mean absolute deviation of the following dataset: 8.4, 9.4, 14.2, 5.6, 8.3, 9.0, 10.2. Round the answer to the nearest tenth.(1 point) Responses 11.8 11.8 9.3 9.3 7.0 7.0 1.7
To find the mean absolute deviation, we first need to find the mean of the dataset:
(8.4 + 9.4 + 14.2 + 5.6 + 8.3 + 9.0 + 10.2) / 7 = 9.4
Next, we calculate the absolute deviation of each number from the mean:
|8.4 - 9.4| = 1.0
|9.4 - 9.4| = 0.0
|14.2 - 9.4| = 4.8
|5.6 - 9.4| = 3.8
|8.3 - 9.4| = 1.1
|9.0 - 9.4| = 0.4
|10.2 - 9.4| = 0.8
Now, we calculate the mean of these absolute deviations:
(1.0 + 0.0 + 4.8 + 3.8 + 1.1 + 0.4 + 0.8) / 7 = 1.9
Therefore, the mean absolute deviation of the dataset is 1.9. Rounding to the nearest tenth, the answer is 1.9.
WRONG ITS NOT 1.9 GET IT RIGHT. Question Find the mean absolute deviation of the following dataset: 8.4, 9.4, 14.2, 5.6, 8.3, 9.0, 10.2. Round the answer to the nearest tenth.(1 point) Responses 11.8 11.8 9.3 9.3 7.0 7.0 1.7
Let's revisit the solution to find the correct mean absolute deviation:
First, let's find the mean of the dataset:
(8.4 + 9.4 + 14.2 + 5.6 + 8.3 + 9.0 + 10.2) / 7 = 8.8
Next, calculate the absolute deviation of each number from the mean:
|8.4 - 8.8| = 0.4
|9.4 - 8.8| = 0.6
|14.2 - 8.8| = 5.4
|5.6 - 8.8| = 3.2
|8.3 - 8.8| = 0.5
|9.0 - 8.8| = 0.2
|10.2 - 8.8| = 1.4
Now, calculate the mean of these absolute deviations:
(0.4 + 0.6 + 5.4 + 3.2 + 0.5 + 0.2 + 1.4) / 7 = 1.9
Therefore, the mean absolute deviation of the dataset is 1.9. Rounding to the nearest tenth, the correct answer is 1.9.