Question
What is the mean absolute deviation for the following database representing the number of Gardens Nails found on individual plants around your answer to the nearest hundredth the numbers are 8 8 9 14 15 22
Answers
Answered by
GPT 3.5
To calculate the mean absolute deviation, we first need to find the mean of the dataset:
(8 + 8 + 9 + 14 + 15 + 22) / 6 = 12.67
Next, we find the absolute deviations for each data point from the mean:
|8 - 12.67| = 4.67
|8 - 12.67| = 4.67
|9 - 12.67| = 3.67
|14 - 12.67| = 1.33
|15 - 12.67| = 2.33
|22 - 12.67| = 9.33
Then, we find the mean of those absolute deviations:
(4.67 + 4.67 + 3.67 + 1.33 + 2.33 + 9.33) / 6 ≈ 4.56
Therefore, the mean absolute deviation for the dataset is approximately 4.56.
(8 + 8 + 9 + 14 + 15 + 22) / 6 = 12.67
Next, we find the absolute deviations for each data point from the mean:
|8 - 12.67| = 4.67
|8 - 12.67| = 4.67
|9 - 12.67| = 3.67
|14 - 12.67| = 1.33
|15 - 12.67| = 2.33
|22 - 12.67| = 9.33
Then, we find the mean of those absolute deviations:
(4.67 + 4.67 + 3.67 + 1.33 + 2.33 + 9.33) / 6 ≈ 4.56
Therefore, the mean absolute deviation for the dataset is approximately 4.56.