find the mean absolute deviation (mad), by averaging the differences from the mean.\nnumber of newspapers…
find the mean absolute deviation (mad), by averaging the differences from the mean.\nnumber of newspapers delivered\n19, 14, 19, 21, 17\n|19 - 18| = 1\n|14 - 18| = 4\n|19 - 18| = 1\n|21 - 18| = 3\n|17 - 18| = 1\nmad = ?
Answer
Explanation:
Step1: Sum the absolute - value differences
The absolute - value differences are 1, 4, 1, 3, 1. Their sum is (1 + 4+1 + 3+1=\sum_{i = 1}^{5}|x_i-\bar{x}|=10).
Step2: Calculate the MAD
The formula for the mean absolute deviation (MAD) is (\text{MAD}=\frac{\sum_{i = 1}^{n}|x_i-\bar{x}|}{n}), where (n = 5) (the number of data points). So, (\text{MAD}=\frac{10}{5}=2).
Answer:
2