Question

summary - steps
summarize the steps to calculate mad in your own words.
in order to calculate the mean absolute deviation (mad), we
first
then
next
last

Explanation:

Step1: Calculate the mean

First, find the mean (\(\bar{x}\)) of the data set. The mean is calculated as the sum of all data points (\(x_i\)) divided by the number of data points (\(n\)), so \(\bar{x}=\frac{\sum_{i = 1}^{n}x_i}{n}\).

Step2: Find absolute deviations

Next, for each data point \(x_i\), find the absolute deviation from the mean, which is \(|x_i-\bar{x}|\).

Step3: Calculate the mean of deviations

Then, find the mean of these absolute deviations. Sum up all the absolute deviations and divide by the number of data points \(n\). The formula for MAD is \(\text{MAD}=\frac{\sum_{i = 1}^{n}|x_i - \bar{x}|}{n}\).

Step4: Finalize the MAD

Last, the result from step 3 is the Mean Absolute Deviation.

Answer:

1. First, calculate the mean of the data set.
2. Next, find the absolute deviation of each data point from the mean.
3. Then, calculate the mean of these absolute deviations.
4. Last, the result is the Mean Absolute Deviation (MAD).