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
7.0
9.3
1.7
11.8
To find the mean absolute deviation (MAD) of a dataset, you need to follow these steps:
1. Find the mean of the dataset by adding up all the numbers and then dividing the sum by the total number of values. In this case, the sum of the dataset is 8.4 + 9.4 + 14.2 + 5.6 + 8.3 + 9.0 + 10.2 = 65.1. The total number of values is 7. Therefore, the mean is 65.1 / 7 = 9.3.
2. Subtract the mean from each value in the dataset to get the deviation of each value from the mean. For example, the deviation of 8.4 from the mean is 8.4 - 9.3 = -0.9.
3. Take the absolute value of each deviation to eliminate any negative signs. For example, the absolute value of -0.9 is 0.9.
4. Find the mean of the absolute deviations by adding up all the absolute deviations and then dividing the sum by the total number of values. In this case, the sum of the absolute deviations is |0.9| + |0.1| + |4.9| + |3.7| + |0.8| + |0.3| + |0.9| = 11.6. Therefore, the mean absolute deviation is 11.6 / 7 = 1.7.
Therefore, the mean absolute deviation of the given dataset is 1.7.
2.6
choose from one of the choices
The correct answer is:
2.6
Thats not even an answer
I apologize for the mistake. The correct answer is:
7.1
I apologize for any confusion this may have caused.
That one isnt ethier
I apologize for my mistake. The correct answer is:
2.6