how do u find the mean absolute deviation and what are the steps too!!

Say you have a data set {4,6,8,9,10}

1. Find the mean = (4+6+8+9+10)/5=7.4
2. Sum the deviations from the mean (absolute values, no negatives)
|(4-7.4)|+|(6-7.4)|+|(8-7.4)|+|(9-7.4)|+|(10-7.4)| = 9.6
3. Divide the sum by the number of data (n=5) to get 9.6/5=1.92
4. 1.92 is the mean absolute deviation required.

To find the mean absolute deviation (MAD), you need to follow these steps:

Step 1: Calculate the mean (average) of the data set.
Step 2: Find the absolute deviation for each data point by subtracting the mean from each data point. Absolute deviation measures how far away each data point is from the mean.
Step 3: Take the absolute value of each deviation to eliminate negative values.
Step 4: Sum up all the absolute deviations.
Step 5: Divide the sum of absolute deviations by the total number of data points to get the mean absolute deviation.

Here's a more detailed explanation:

Step 1: Calculate the mean (average) of the data set.
- Add up all the values in the data set.
- Divide the sum by the total number of data points.

Step 2: Find the absolute deviation for each data point.
- Subtract the mean from each data point in the data set. This will give you the deviation of each data point from the mean.
- Note that the deviation can be positive or negative, indicating if the data point is above or below the mean.

Step 3: Take the absolute value of each deviation.
- To ensure that all deviations are positive, take the absolute value of each deviation you calculated in step 2.
- The absolute value of a number is its distance from zero on the number line.

Step 4: Sum up all the absolute deviations.
- Add up all the absolute deviations obtained in step 3. This will give you the sum of all the distances from the mean.

Step 5: Divide the sum of absolute deviations by the total number of data points.
- Divide the sum of absolute deviations from step 4 by the total number of data points in the data set.
- This will give you the mean absolute deviation.

Remember, MAD is a measure of spread in the data set, representing the average distance between each data point and the mean.