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
To find the mean absolute deviation, first find the mean of the dataset.
Mean = (8.4 + 9.4 + 14.2 + 5.6 + 8.3 + 9.0 + 10.2)/7
Mean = 65.1/7
Mean ≈ 9.3
Next, find the absolute deviation for each data point by subtracting the mean from each data point and taking the absolute value.
Absolute deviation = |data point - mean|
For 8.4: |8.4 - 9.3| = 0.9
For 9.4: |9.4 - 9.3| = 0.1
For 14.2: |14.2 - 9.3| = 4.9
For 5.6: |5.6 - 9.3| = 3.7
For 8.3: |8.3 - 9.3| = 1.0
For 9.0: |9.0 - 9.3| = 0.3
For 10.2: |10.2 - 9.3| = 0.9
Now, find the mean of the absolute deviations.
Mean absolute deviation = (0.9 + 0.1 + 4.9 + 3.7 + 1.0 + 0.3 + 0.9)/7
Mean absolute deviation ≈ 2.2
Therefore, the mean absolute deviation of the dataset is approximately 2.2.
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.
To find the mean absolute deviation, we need to find the mean of the dataset first.
Mean = (8.4 + 9.4 + 14.2 + 5.6 + 8.3 + 9.0 + 10.2)/7
Mean = 65.1/7
Mean ≈ 9.3
Next, we calculate the absolute deviation for each data point by subtracting the mean from each data point and taking the absolute value.
Absolute deviation = |data point - mean|
For 8.4: |8.4 - 9.3| = 0.9
For 9.4: |9.4 - 9.3| = 0.1
For 14.2: |14.2 - 9.3| = 4.9
For 5.6: |5.6 - 9.3| = 3.7
For 8.3: |8.3 - 9.3| = 1.0
For 9.0: |9.0 - 9.3| = 0.3
For 10.2: |10.2 - 9.3| = 0.9
Now, we find the mean of the absolute deviations.
Mean absolute deviation = (0.9 + 0.1 + 4.9 + 3.7 + 1.0 + 0.3 + 0.9)/7
Mean absolute deviation ≈ 2.1
Therefore, the mean absolute deviation of the dataset is approximately 2.1.
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).
To find the mean absolute deviation, we need to find the mean of the dataset first.
Mean = (8.4 + 9.4 + 14.2 + 5.6 + 8.3 + 9.0 + 10.2)/7
Mean = 65.1/7
Mean ≈ 9.3
Next, we calculate the absolute deviation for each data point by subtracting the mean from each data point and taking the absolute value.
Absolute deviation = |data point - mean|
For 8.4: |8.4 - 9.3| = 0.9
For 9.4: |9.4 - 9.3| = 0.1
For 14.2: |14.2 - 9.3| = 4.9
For 5.6: |5.6 - 9.3| = 3.7
For 8.3: |8.3 - 9.3| = 1.0
For 9.0: |9.0 - 9.3| = 0.3
For 10.2: |10.2 - 9.3| = 0.9
Now, we find the mean of the absolute deviations.
Mean absolute deviation = (0.9 + 0.1 + 4.9 + 3.7 + 1.0 + 0.3 + 0.9)/7
Mean absolute deviation ≈ 2.1
Therefore, the mean absolute deviation of the dataset is approximately 2.1.
wrong pal
Apologies for the confusion. Let's recalculate the mean and mean absolute deviation.
First, let's find the mean of the dataset:
Mean = (8.4 + 9.4 + 14.2 + 5.6 + 8.3 + 9.0 + 10.2)/7
Mean = 65.1/7
Mean ≈ 9.3
Next, let's find the absolute deviation for each data point by subtracting the mean from each data point and taking the absolute value:
Absolute deviation = |data point - mean|
For 8.4: |8.4 - 9.3| = 0.9
For 9.4: |9.4 - 9.3| = 0.1
For 14.2: |14.2 - 9.3| = 4.9
For 5.6: |5.6 - 9.3| = 3.7
For 8.3: |8.3 - 9.3| = 1.0
For 9.0: |9.0 - 9.3| = 0.3
For 10.2: |10.2 - 9.3| = 0.9
Now, let's find the mean of the absolute deviations:
Mean absolute deviation = (0.9 + 0.1 + 4.9 + 3.7 + 1.0 + 0.3 + 0.9)/7
Mean absolute deviation ≈ 2.3
Therefore, the mean absolute deviation of the dataset is approximately 2.3.