Question

what is the mean absolute deviation, or mad, of this sample? solve on paper, then enter your answer on zearn. you can use the calculator to help you solve. sample 2 14 lb 14 lb 15 lb 15 lb 16 lb 17 lb 17 lb 18 lb 19 lb 25 lb mean = 17 pounds mad =

Explanation:

Step1: Find absolute deviations

For each data point, calculate \(|x - \text{mean}|\):

• \(|14 - 17| = 3\) (two times)
• \(|15 - 17| = 2\) (two times)
• \(|16 - 17| = 1\) (one time)
• \(|17 - 17| = 0\) (two times)
• \(|18 - 17| = 1\) (one time)
• \(|19 - 17| = 2\) (one time)
• \(|25 - 17| = 8\) (one time)

Step2: Sum the absolute deviations

Sum these values: \(2\times3 + 2\times2 + 1\times1 + 2\times0 + 1\times1 + 1\times2 + 1\times8\)
\(= 6 + 4 + 1 + 0 + 1 + 2 + 8 = 22\)

Step3: Divide by number of data points

There are 10 data points. So, \( \text{MAD} = \frac{22}{10} = 2.2 \)

Answer:

\(2.2\)