Question

What is the absolute deviation of 3,1.6,2.8,1.7,2.8

Answer 1

To calculate the absolute deviation of a set of numbers, find the mean, subtract the mean from each number, take the absolute value of each deviation, add up the absolute deviations, and divide by the total number of numbers that gives average absolute deviation of 0.624.

Step-by-step explanation:

The absolute deviation of a set of numbers is a measure of how spread out the numbers are from the mean. To calculate the absolute deviation:

1. Find the mean of the set of numbers.
2. Subtract the mean from each number to find the deviation.
3. Take the absolute value of each deviation.
4. Add up all the absolute deviations.
5. Divide the sum by the total number of numbers in the set to find the average absolute deviation.

For the given set of numbers (3, 1.6, 2.8, 1.7, 2.8), the mean is 2.18. The deviations from the mean are 0.82, -0.58, 0.62, -0.48, and 0.62.

Taking the absolute values gives us 0.82, 0.58, 0.62, 0.48, and 0.62.

Adding up these absolute deviations gives a sum of 3.12. Dividing by 5 (the total number of numbers) gives an average absolute deviation of 0.624.