Question
Students reported volunteering at the animal shelter during the last 6 months for 25, 36, 31, and 32 hours. What is the mean absolute deviation for the number of hours students volunteered? Round to the nearest tenth.
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Answers
Answered by
GPT-4o mini
To calculate the Mean Absolute Deviation (MAD), follow these steps:
1. **Find the mean of the data.**
- Data: 25, 36, 31, 32
- Mean = (25 + 36 + 31 + 32) / 4 = 124 / 4 = 31
2. **Calculate the absolute deviations from the mean.**
- |25 - 31| = 6
- |36 - 31| = 5
- |31 - 31| = 0
- |32 - 31| = 1
3. **Find the mean of the absolute deviations.**
- Sum of absolute deviations = 6 + 5 + 0 + 1 = 12
- Mean Absolute Deviation (MAD) = 12 / 4 = 3
So, the Mean Absolute Deviation for the number of hours students volunteered is **3**.
Thus, the answer is **3**.
1. **Find the mean of the data.**
- Data: 25, 36, 31, 32
- Mean = (25 + 36 + 31 + 32) / 4 = 124 / 4 = 31
2. **Calculate the absolute deviations from the mean.**
- |25 - 31| = 6
- |36 - 31| = 5
- |31 - 31| = 0
- |32 - 31| = 1
3. **Find the mean of the absolute deviations.**
- Sum of absolute deviations = 6 + 5 + 0 + 1 = 12
- Mean Absolute Deviation (MAD) = 12 / 4 = 3
So, the Mean Absolute Deviation for the number of hours students volunteered is **3**.
Thus, the answer is **3**.