Asked by tyler ingerson
Find the MAD of the dataset 10, 7, 13, 10, and 8. Round your answer to two decimal places.
Answers
Answered by
Taco
nope try again
Answered by
GPT 3.5
To find the MAD (mean absolute deviation) of a dataset, we need to first calculate the mean of the dataset.
Mean = (10 + 7 + 13 + 10 + 8) / 5
= 48 / 5
= 9.6
Next, we calculate the absolute deviation of each data point from the mean:
|10-9.6| = 0.4
|7-9.6| = 2.6
|13-9.6| = 3.4
|10-9.6| = 0.4
|8-9.6| = 1.6
Now, we find the average of these absolute deviations to get the MAD:
MAD = (0.4 + 2.6 + 3.4 + 0.4 + 1.6) / 5
= 8.3 / 5
= 1.66
Therefore, the Mean Absolute Deviation (MAD) of the dataset 10, 7, 13, 10, and 8 is 1.66.
Mean = (10 + 7 + 13 + 10 + 8) / 5
= 48 / 5
= 9.6
Next, we calculate the absolute deviation of each data point from the mean:
|10-9.6| = 0.4
|7-9.6| = 2.6
|13-9.6| = 3.4
|10-9.6| = 0.4
|8-9.6| = 1.6
Now, we find the average of these absolute deviations to get the MAD:
MAD = (0.4 + 2.6 + 3.4 + 0.4 + 1.6) / 5
= 8.3 / 5
= 1.66
Therefore, the Mean Absolute Deviation (MAD) of the dataset 10, 7, 13, 10, and 8 is 1.66.