Question

data set: 47, 45, 44, 41, 48
1 find the mean.
mean = \\(\frac{47 + 45 + 44 + 41 + 48}{5} = \frac{225}{5} = 45\\)
2 find each absolute deviation.
absolute deviations: 2, 0, 1, 4, 3
what is the mean absolute deviation (mad) for the data set?
mad = \\(\square\\)

Explanation:

Step1: Find the mean (already given as 45)

Step2: Find the mean of absolute deviations

First, sum the absolute deviations: \(2 + 0 + 1 + 4 + 3 = 10\)
Then, divide by the number of data points (5): \(\frac{10}{5} = 2\)

Answer:

2