Question
I-Ready Mean and Mean Absolute Deviation - Quiz - Level F 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 \( = \) \( \square \) 7 minutes What is the mean absolute deviation (MAD) of the times? \( M A D= \) \( \square \) minutes
Ask by Sullivan Hampton.
Feb 06,2025 16:56
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Answer
To find the mean and Mean Absolute Deviation (MAD) of the times:
1. **Mean**: Add all times and divide by the number of friends (3).
2. **MAD**: Calculate the average of the absolute differences between each time and the mean.
You need the specific times from the dot plot to compute the exact MAD.
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When calculating the mean, you simply add up all the times taken by the participants and then divide by the number of participants. Let's say the times recorded were 6, 7, and 8 minutes. Then the mean would be \( (6 + 7 + 8) / 3 = 7 \) minutes. Easy peasy!
For the Mean Absolute Deviation (MAD), you start by finding the absolute differences between each time and the mean, then calculate the average of those differences. So, for our example, if the times are 6, 7, and 8 minutes with a mean of 7 minutes, the differences would be |6-7| = 1, |7-7| = 0, and |8-7| = 1. The MAD would be \( (1 + 0 + 1) / 3 = 0.67 \) minutes. Voilà!
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