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)

please help me out bot

Answer 1

[AI-generated answer — Bot 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).

Answer 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)

Answer 3

[AI-generated answer — Bot 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.

Answer 4

is 1.7 100% right

Answer 5

[AI-generated answer — Bot 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).

Answer 6

so 1.7 is right?

Answer 7

[AI-generated answer — Bot 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.