Velocity of Transmission of Disturbances through Sea-water. 



Departure from mean. 



Y v = 162341 -10886 



175483 +2256 



192529 +19302 



158028 -15199 



192129 + 18902 



169190 -4037 



Mean m 173227, approximately as above. 



By Bessel's formula, probable error of mean 



« «„, , M /sum of square of departures - . . 



- 0-6745 A / lo^-n - 



By Peters's formula, probable error of mean 

 = 2212. 



Thus the result for Class A may be written— 

 Probable velocity at 17 - 79° C. — 1732 + 22 metres per second. 



The theoretical velocity of sound is 1523 metres per second. 



Treating Class B similarly, the mean temperature of the obser 

 tions is 14 - 546° C. For convenience of calculation V B is taken to 

 the velocity at 14*5°, and the system of resulting equations is : — 



Temp, of water. 



14-5° C. 



v B +o& 





lo6990 



14-8 



Y B + 0'3i 





170198 



13-0 



V H -l-56 





149256 



13-0 



Y B -IM 





150393 



139 



V B -0-6Z> 





193252 



133 



Y B -T26 





154059 



13-3 



Y B -T26 





154965 



13-3 



V B -T26 





152420 



133 



v*-m 





155116 



18-5 



y B -i-ob 





175264 



134 







191406 



13+ 



Vb-1'11 





188662 



15-5 



Vb + 1-06 





214710 



15' 5 



V B + T06 





195989 



1-V5 



Y B + T0& 





212728 



15-5 



Vb + 1-06 





198361 



15-2 



V B + 0-76 





201076 



15-2 



V B + 0-76 





180730 



15-2 



V B +076 





199025 



15-2 



Vb + O-76 





179417 



16-0 



Y B + T56 





186556 



VOL. XLVI. 2 N 



