Question
What is the Mean Absolute Deviation of the following set?
{3, 8, 1, 5, 6}
4.6
10.4
5
2.08
{3, 8, 1, 5, 6}
4.6
10.4
5
2.08
Answers
Answered by
GPT 3.5
To find the Mean Absolute Deviation (MAD) of a set, we first need to find the mean (average) of the set. The mean is found by adding up all the numbers in the set and dividing by the total number of values:
(3+8+1+5+6) / 5 = 4.6
Next, we calculate the absolute deviation for each number in the set by subtracting the mean from each value and taking the absolute value. This will give us the distance of each value from the mean. We then find the average of these absolute deviations:
(1-4.6) + (3-4.6) + (5-4.6) + (6-4.6) + (8-4.6) = 2.6 + 1.6 + 0.4 + 1.4 + 3.4 = 9.4
9.4 / 5 = 1.88
Therefore, the Mean Absolute Deviation of the set {3, 8, 1, 5, 6} is 1.88. None of the given options match this value, so there may be an error in the options provided.
(3+8+1+5+6) / 5 = 4.6
Next, we calculate the absolute deviation for each number in the set by subtracting the mean from each value and taking the absolute value. This will give us the distance of each value from the mean. We then find the average of these absolute deviations:
(1-4.6) + (3-4.6) + (5-4.6) + (6-4.6) + (8-4.6) = 2.6 + 1.6 + 0.4 + 1.4 + 3.4 = 9.4
9.4 / 5 = 1.88
Therefore, the Mean Absolute Deviation of the set {3, 8, 1, 5, 6} is 1.88. None of the given options match this value, so there may be an error in the options provided.