Absolute Deviation 0172C3
1. **Stating the problem:** Calculate the average absolute deviation given three samples and their deviations from the mean.
2. **Formula used:** The absolute deviation for each sample is calculated as $|c_i - \bar{c}|$, where $c_i$ is the sample value and $\bar{c}$ is the mean.
3. **Given values:**
- Sample 1 deviation: $|0.104 - 0.098| = 0.006$
- Sample 2 deviation: $|0.097 - 0.09633| = 0.00067$
- Sample 3 deviation: $|0.094 - 0.09633| = 0.00233$
(Note: The first deviation was given as 0.00167 but recalculated correctly as $0.006$)
4. **Calculate the average absolute deviation:**
$$\text{Average} = \frac{0.006 + 0.00067 + 0.00233}{3}$$
5. **Perform the addition:**
$$0.006 + 0.00067 + 0.00233 = 0.009$$
6. **Divide by 3:**
$$\frac{0.009}{3} = 0.003$$
7. **Final answer:** The average absolute deviation is $0.003$.
This means on average, the samples deviate from the mean by 0.003 units.