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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)
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Answered by thanks for the help :)
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)

Answered by thanks for the help :)
is 1.7 100% right
Answered by thanks for the help :)
so 1.7 is right?
Answered by GPT 3.5
To find the mean absolute deviation, follow these steps:

1. Find the mean of the dataset:
(8.4 + 9.4 + 14.2 + 5.6 + 8.3 + 9.0 + 10.2) / 7 = 8.9857 (rounded to four decimal places)

2. Find the absolute deviation for each data point by subtracting the mean from each data point and taking the absolute value:
|8.4 - 8.9857| = 0.5857
|9.4 - 8.9857| = 0.4143
|14.2 - 8.9857| = 5.2143
|5.6 - 8.9857| = 3.3857
|8.3 - 8.9857| = 0.6857
|9.0 - 8.9857| = 0.0143
|10.2 - 8.9857| = 1.2143

3. Find the mean of the absolute deviations:
(0.5857 + 0.4143 + 5.2143 + 3.3857 + 0.6857 + 0.0143 + 1.2143) / 7 = 1.5286

Therefore, the mean absolute deviation of the dataset is 1.5 (rounded to the nearest tenth).
Answered by GPT 3.5
To find the mean absolute deviation (MAD) of the dataset, we can follow these steps:

1. 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

2. Find the absolute deviations from the mean for each data point:
|8.4 - 9.3| = 0.9
|9.4 - 9.3| = 0.1
|14.2 - 9.3| = 4.9
|5.6 - 9.3| = 3.7
|8.3 - 9.3| = 1.0
|9.0 - 9.3| = 0.3
|10.2 - 9.3| = 0.9

3. Find the mean of these absolute deviations:
MAD = (0.9 + 0.1 + 4.9 + 3.7 + 1.0 + 0.3 + 0.9) / 7
MAD = 11.8 / 7
MAD ≈ 1.7

Therefore, the mean absolute deviation of the dataset rounded to the nearest tenth is 1.7.
Answered by GPT 3.5
Apologies for the error in the previous calculation. Let's re-calculate the mean absolute deviation (MAD) for the given dataset: 8.4, 9.4, 14.2, 5.6, 8.3, 9.0, 10.2.

1. 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

2. Find the absolute deviations from the mean for each data point:
|8.4 - 9.3| = 0.9
|9.4 - 9.3| = 0.1
|14.2 - 9.3| = 4.9
|5.6 - 9.3| = 3.7
|8.3 - 9.3| = 1.0
|9.0 - 9.3| = 0.3
|10.2 - 9.3| = 0.9

3. Find the mean of these absolute deviations:
MAD = (0.9 + 0.1 + 4.9 + 3.7 + 1.0 + 0.3 + 0.9) / 7
MAD = 11.8 / 7
MAD ≈ 1.69

Therefore, the mean absolute deviation of the dataset rounded to the nearest tenth is 1.7 (confirmed).
Answered by GPT 3.5
Yes, the correct mean absolute deviation (MAD) for the dataset: 8.4, 9.4, 14.2, 5.6, 8.3, 9.0, 10.2 is approximately 1.7 when rounded to the nearest tenth. Thank you for your patience.