Question

diane is a camp counselor. she designs a new obstacle course, and tests the course with 3 friends. the dot plot shows the time it takes them to complete the obstacle course. what is the mean of the times? mean = 7 minutes what is the mean absolute deviation, or mad, of the times? mad = minutes obstacle course test data value 5 6 10 dist. from mean

Explanation:

Step1: Calculate the distance from the mean for each data value

• For \(5\): \(|5 - 7|=2\)
• For \(6\): \(|6 - 7| = 1\)
• For \(10\): \(|10 - 7|=3\)

Step2: Calculate the mean absolute deviation (MAD)

The formula for MAD is \(\frac{\sum_{i = 1}^{n}|x_{i}-\bar{x}|}{n}\), where \(n\) is the number of data points, \(x_{i}\) are the data values, and \(\bar{x}\) is the mean.
Here, \(n = 3\), \(\sum_{i=1}^{3}|x_{i}-\bar{x}|=2 + 1+3=6\)
So, \(MAD=\frac{6}{3}\)

Answer:

\(2\)