Probable Errors of Frequency Types 
TABLE VII. 
Values of Vl*J for given values of fi^, ^.^ {Semi-Minor Axis 
of Probability Ellipse). 
0 
■05 
■1 
■15 
■2 
■25 
■3 
■35 
■4 
■45 
■5 
■55 
■0 
■65 
•7 
■75 
2-0 
0-0 
0-5 
0-7 
0-8 
0-8 
0-8 
0-8 
0-8 
0^7 
0^7 
0-7 
0-e 
0-6 
0^5 
0^5 
0^4 
2-1 
0-0 
0-5 
0-7 
0^8 
0-9 
0-9 
0^8 
0-8 
0^8 
0'8 
0^7 
0^7 
0-7 
o^e 
0^6 
0-5 
2-2 
0-0 
0'5 
0-8 
0-9 
0-9 
0-9 
0-9 
0-9 
0^9 
0-8 
0-8 
0-8 
0-7 
0^7 
0-7 
0^6 
2-3 
0-0 
0^5 
0-8 
0-9 
ro 
ro 
ro 
ro 
ro 
0^9 
0-9 
0-9 
0^8 
0-8 
0^8 
0^7 
2-k 
0-0 
0^6 
0-9 
1-0 
1-0 
1-0 
ro 
ro 
ro 
ro 
ro 
0^9 
0-9 
0-9 
0-9 
0-8 
2-5 
0-0 
0^6 
0^9 
1^0 
!•! 
1-1 
ri 
ri 
ri 
ri 
1-0 
ro 
ro 
ro 
ro 
0-9 
2-6 
0-0 
0-6 
\-o 
!•! 
!•! 
1-2 
1-2 
r2 
ri 
ri 
1^1 
1-1 
ri 
ro 
1^0 
1^0 
2-7 
0-0 
0-7 
i-o 
1-2 
1-2 
13 
1-3 
r3 
1-2 
r2 
r2 
r2 
ri 
1-1 
1^1 
ri 
2-8 
0-0 
0^7 
ri 
1-3 
13 
r3 
r3 
1-3 
1-3 
r3 
1-3 
1-3 
1^2 
r2 
r2 
r2 
2-9 
0-0 
0^8 
1-2 
V3 
1^4 
r4 
1-4 
1^4 
r4 
1-4 
1-4 
r3 
1-3 
1-3 
13 
3-0 
0-0 
0^8 
i-2 
1-4 
1-4 
1-5 
1-5 
ro 
1-5 
rs 
1^5 
r5 
r4 
1-4 
1-4 
1^4 
8-1 
0-0 
0-9 
1-3 
1-5 
1-5 
re 
re 
re 
re 
re 
1-6 
re 
re 
1^5 
rs 
1^5 
3-2 
0-0 
1-0 
1-4 
re 
re 
1-7 
r7 
r7 
1-7 
r7 
1-7 
r7 
1-7 
re 
re 
re 
3-3 
•00 
M 
l-Q 
1-8 
1-8 
1-9 
1-9 
1-9 
1-8 
1-8 
1-8 
r8 
r8 
1-7 
r7 
r7 
3-Jt 
•00 
1-2 
1-7 
1-9 
1-9 
2-0 
2^0 
2^0 
2-0 
2-0 
r9 
1^9 
1-9 
rg 
1-9 
rs 
3-5 
•00 
1^4 
1-8 
2-0 
2-1 
2-1 
2^1 
2^1 
2-1 
2-1 
2-1 
2^1 
2^1 
2-0 
2^0 
r9 
3-6 
•00 
1-5 
2-0 
2-1 
2-2 
2-3 
2-3 
2^3 
2-3 
2^3 
2-3 
2-2 
2^2 
2^1 
2^1 
2^1 
3-7 
•00 
1^6 
2^1 
2^3 
2-4 
2-5 
2-5 
2-5 
2-5 
2-5 
2^4 
2^4 
2^4 
2^3 
2-3 
2-3 
3-8 
•00 
1-8 
2-3 
2^5 
2-6 
2-7 
2^7 
2-7 
2^7 
2-7 
2^e 
2^6 
2-e 
2^5 
2-5 
2-4 
3-9 
•00 
2^0 
2^5 
2-7 
2-9 
3-0 
3^0 
3-0 
3-0 
2^9 
2^9 
2-8 
2-8 
2-7 
2-7 
2^6 
4-0 
•00 
2-2 
2^8 
3^0 
3-2 
3 3 
3^3 
3 3 
3 3 
3^2 
3-1 
3^1 
30 
2 '9 
2-9 
2-8 
4-1 
— 
— 
3^0 
3-3 
3^5 
3-e 
3-6 
3-6 
3-6 
3-5 
3^4 
3-4 
3^3 
3-2 
3-2 
3^1 
k-2 
— 
— 
3 3 
3-6 
3^8 
3-9 
4-0 
4-0 
3-9 
3-8 
3-8 
3-7 
3-6 
3^5 
3^5 
3-4 
Jt-3 
— 
— 
3^6 
4^0 
4^2 
4-3 
4^4 
4-4 
4-3 
4-2 
4-1 
4^0 
3^9 
3^8 
3^8 
3-7 
Jf-h 
— 
4^0 
4^4 
4-7 
4-8 
4-8 
4^8 
4^7 
4^6 
4-5 
4-4 
4-3 
4-2 
4^1 
4^0 
4-5 
— 
— 
4-4 
4^9 
5-2 
5^3 
5-3 
5-3 
5-2 
5-1 
5^0 
4^9 
4^7 
4-e 
4-5 
4-4 
— 
— 
— 

— 

5^9 
5^9 
rr8 
5-7 
5^e 
5-4 
5-2 
5^1 
5-0 
4^8 
lt-7 
e^7 
6-7 
e-e 
6^4 
6^2 
€•0 
5^8 
5^7 
5-e 
5^3 
Jf-8 
7^6 
7^e 
7^4 
7^2 
6 '9 
6"e 
e^4 
6'3 
e^2 
5 "9 
J,-9 
8-5 
8-5 
8-4 
8-1 
7^8 
7^5 
7^2 
7^0 
6-8 
e-5 
5-0 
11 
10 
9-7 
9^3 
8-9 
8-5 
8-1 
7-7 
7-4 
7-1 
5-1 
9-3 
8-e 
8^1 
7^7 
11 
9^5 
8^9 
8^6 
5-3 
12 
11 
10 
9^e 
5-Jf 
14 
13 
12 
11 
5-5 
16 
15 
14 
13 
5-6 
5-7 
5-8 
- 
5-9 
6-0 
6-1 
6-2 
6-3 
6-Jf 
6-5 
6-6 
6-7 
6-8 
6-9 
7-0 
- 
1 
