Page:Proceedings of the Royal Society of London Vol 59.djvu/180

It will be observed that the final results obtained from the two sets are freed from many of the unavoidable errors.

I give below the results of two sets of experiments each extending through eleven observations. The receiver was in an unusually good condition for nearly an hour, and during that time I took six observations with P to the front and six more with Q in the same position. As the receiver continued to remain in a fairly responsive condition I took five more for each set. As I have said already, greater weight should be given to the first two sets of six readings, as being taken under the most favourable conditions.

In the first two lines are given ten successive differences of the mean readings, taken with the cylinders P and Q.

P	....	71	70	70·5	70·5	70·5	70	69·5	69·5	69·5	70	=	701
Q	....	70	70	71	71	70	71	71	70	70	69·5	=	703·5
											Mean	....	702·25

$\scriptstyle {i={\frac {702\cdot 25}{2\times 10}}=35\cdot 11,\quad \mu =1\cdot 738}$.

The following are the readings in degrees for the first six sets of observations with P or Q.

P.
	a.		b.		Mean.		Difference.
1..........	216		144		188
							71
2..........	144		74		109
							70
3..........	74		4		39
							70	.5
4..........	(360	)+4	293		328	·5
							70	·5
5..........	293		223		258
							70	·5
6..........	223		152		187	·5
							352	·5	.... A.
Q.
	c.		d.		Mean.		Difference.
1..........	308		360	+18	343
							70
2..........	18		88		53
							70
3..........	88		158		123
							71
4..........	158		230		194
							71
5..........	230		300		265
							70
6..........	300		360	+10	335
							352	·0	.... B.

Mean of A–B = 352·25.

$\scriptstyle {i={\frac {352\cdot 25}{2\times 5}}=35\cdot 22,\quad \mu =1\cdot 734}$.