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.

obstacle course test 5,6,10 time (min)
what is the mean of the times
mean = minutes

what is the mean absolute deviatiob (MAD) of the times
MAD = minutes

Answer 1

To find the mean and mean absolute deviation (MAD) of the times, we follow these steps:

1. **Calculate the Mean**:
The mean is calculated by adding all the times together and dividing by the number of times.

Given times: 5, 6, and 10 minutes.

\[
\text{Mean} = \frac{5 + 6 + 10}{3} = \frac{21}{3} = 7 \text{ minutes}
\]

2. **Calculate the Mean Absolute Deviation (MAD)**:
To find the MAD, we first find the absolute deviations from the mean for each time, then calculate the mean of those absolute deviations.

- Mean = 7 minutes
- Absolute deviations:
- For 5 minutes: \( |5 - 7| = 2 \)
- For 6 minutes: \( |6 - 7| = 1 \)
- For 10 minutes: \( |10 - 7| = 3 \)

Now, we find the mean of these absolute deviations:

\[
\text{MAD} = \frac{2 + 1 + 3}{3} = \frac{6}{3} = 2 \text{ minutes}
\]

### Results:
- Mean = 7 minutes
- Mean Absolute Deviation (MAD) = 2 minutes