DR. A. SCOTT ON THE COMPOSITION OF WATER BY VOLUME.
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2. For the probable value of the result from several series of experiments
M=Aa2+Bb2+Cc2&c.1a2+1b2+1c2&c..
- M = general mean.
- A, B, C, &c., being the mean results as above.
- a, b, c, &c., being the probable error of each.
3. For the probable error of this general mean = m
m=1√(1a2+1b2+1c2&c.).
These mean values are for
Series I. | ||||
Number of experiments in each sub-series. |
Impurity equally in both gases. |
Number of experiments. |
Impurity all in hydrogen. | |
Ib. | (2) | 1.997600±.00100 | (2) | 1.997500±.00100 |
Ic. | (2) | 1.999050±.00010 | (2) | 1.998800±.00006 |
Id. | (4) | 1.998500±.00070 | (4) | 1.998200±.00070 |
Ie. | (6) | 2.000110±.00040 | (6) | 2.000550±.00050 |
If. | (5) | 2.001400±.00005 | (5) | 2.001040±.00018 |
General mean for Series I. | ||||
(19) | 2.000903±.00004 | (19) | 1.99925±.00005 | |
Series II. | ||||
Number of experiments in each sub-series. |
Impurity equally in both gases. |
Number of experiments. |
Impurity all in hydrogen. | |
IIa. | (19) | 2.002000±.00024 | (19) | 2.001900±.00024 |
IIb. | (7) | 2.003800±.00620 | (7) | 2.003700±.00600 |
IIc. | (10) | 2.001500±.00036 | (10) | 2.001600±.00036 |
IId. | (5) | 2.003000±.00022 | (5) | 2.003000±.00022 |
IIe. | (12) | 2.002450±.00007 | (12) | 2.002450±.00007 |
General mean for Series I. | ||||
(53) | 2.002435±.00006 | (52) | 2.002431±.00006 | |