#1 A pipet delivers 10.5, 10.3, 10.9 and 10.7 ml (a) find the mean volume and deviation from the mean for each and calculate the average deviation from the mean (b) calculate the relative deviation (in %) for this set of data. Relative deviation (%) = (average deviation from the mean / the )
To find the mean volume and deviation from the mean for each measurement, as well as the average deviation from the mean, you can follow these steps:
(a) Mean Volume:
1. Add up all the measurements: 10.5 + 10.3 + 10.9 + 10.7 = 42.4 ml.
2. Divide the sum by the number of measurements to get the mean: 42.4 ml / 4 = 10.6 ml
Deviation from the Mean:
1. For each measurement, subtract the mean from that measurement.
Deviation for 10.5 ml: 10.5 ml - 10.6 ml = -0.1 ml
Deviation for 10.3 ml: 10.3 ml - 10.6 ml = -0.3 ml
Deviation for 10.9 ml: 10.9 ml - 10.6 ml = 0.3 ml
Deviation for 10.7 ml: 10.7 ml - 10.6 ml = 0.1 ml
Average Deviation from the Mean:
1. Add up all the deviations: -0.1 ml + -0.3 ml + 0.3 ml + 0.1 ml = 0
2. Divide the sum by the number of measurements to get the average deviation: 0 / 4 = 0 ml
(b) Relative Deviation:
1. Calculate the average deviation from the mean (which we found to be 0 ml).
2. Divide the average deviation by the mean volume: (0 ml / 10.6 ml) x 100 = 0%
Therefore, the mean volume is 10.6 ml, the deviation from the mean for each measurement is as calculated above, the average deviation from the mean is 0 ml, and the relative deviation is 0%.