44 



TABLE 23.— VALUES OF THE FACTOR 0.6745 



V"^rr 



_ . for the probable error of a single 

 observation, and other similar equations. 



12 3 4 



00 0.6745 0.4769 0.3894 



10 0.2248 0.2133 .2034 .1947 .1871 



20 .1547 .1508 .1472 .1438 .1406 



30 .1252 .1231 .1211 .1192 .1174 



40 .1080 .1066 .1053 .1041 .1029 



50 0.0964 0.0954 0.0944 0.0935 0.0926 



60 .0878 .0871 .0864 .0857 .0850 



70 .0812 .0806 .0800 .0795 .0789 



80 .0759 .0754 .0749 .0745 .0740 



90 .0715 .0711 .0707 .0703 .0699 



5 6 7 8 9 



0.3372 0.3016 0.2754 0.2549 0.2385 



.1803 .1742 .1686 .1636 .1590 



.1377 .1349 .1323 .1298 .1275 



.1157 .1140 .1124 .1109 .1094 



.1017 .1005 .0994 .0984 .0974 



0.0918 0.0909 0.0901 0.0893 0J 



.0843 .0837 .0830 .0824 .0818 



.0784 .0779 .0774 .0769 .0764 



.0736 .0732 .0727 .0723 .0719 



.0696 .0692 .0688 .0685 .0681 



TABLE 24.— VALUES OF THE FACTOR 0.6745 



\ n(n_i; 



This factor occurs in the equation r = 0.6745 

 arithmetical mean. 



\ n(n — 1 



for the probable error of the 



n 12 3 4 



00 0.4769 0.2754 0.1947 



10 0.0711 0.0643 .0587 .0540 .0500 



20 .0346 .0329 .0314 .0300 .0287 



30 .0229 .0221 .0214 .0208 .0201 



40 .0171 .0167 .0163 .0159 .0155 



50 0.0136 0.0134 0.0131 0.0128 0.0126 



60 .0113 .0111 .0110 .0108 .0106 



70 .0097 .0096 .0094 .0093 .0092 



80 .0085 .0084 .0083 .0082 .0081 



90 .0075 .0075 .0074 .0073 .0072 



5 6 7 8 9 



0.1508 0.1231 0.1041 0.0901 0.0795 



.0465 .0435 .0409 .0386 .0365 



.0275 .0265 .0255 .0245 .0237 



.0196 .0190 .0185 .0180 .0175 



.0152 .0148 .0145 .0142 .0139 



0.0124 0.0122 0.0119 0.0117 0.0115 



.0105 .0103 .0101 .0100 .0098 



.0091 .0089 .0088 .0087 .0086 



.0080 .0079 .0078 .0077 .0076 



.0071 .0071 .0070 .0069 .0068 



SMITHSONIAN PHYSICAL TABLES 



