To calculate the relative average deviation, you’ll first need to determine the average deviation from the average (mean) of your data set. In this case, we have the values: 6.50, 6.45, 6.44, and 6.46.
1. **Calculate the Mean**: You already provided the average (mean) as 6.46, which is calculated as follows:
- (6.50 + 6.45 + 6.44 + 6.46) / 4 = 6.4625 (rounded to 6.46)
2. **Calculate the Deviations**: Now we find the absolute deviations from the mean:
- Deviation for 6.50: |6.50 – 6.46| = 0.04
- Deviation for 6.45: |6.45 – 6.46| = 0.01
- Deviation for 6.44: |6.44 – 6.46| = 0.02
- Deviation for 6.46: |6.46 – 6.46| = 0.00
3. **Calculate the Average of the Deviations**: Now, we find the average of these absolute deviations:
- (0.04 + 0.01 + 0.02 + 0.00) / 4 = 0.015
4. **Calculate the Relative Average Deviation**: Finally, to find the relative average deviation, we divide the average deviation by the mean and multiply by 100 to get a percentage:
- Relative Average Deviation = (0.015 / 6.46) * 100 ≈ 0.232%
This result indicates that the average deviation from the mean is approximately 0.232% relative to the mean value.