128 
BULLETIN OF THE BUREAU OF FISHERIES 
Table 3. — Vertebral distributions for various year classes from all localities 
[Data from 1928 to 1931; no samples under 50 included] 
Locality 
Year 
class 
Number of vertebrae 1 
No. 
Mean 
S(x-x) > 
47 
48 
49 
50 
51 
52 
53 
54 
55 
1923 
1 
2 
4 
75 
446 
334 
45 
2 
909 
52. 370 
541. 802 
1923 
1 
21 
38 
8 
68 
52. 779 
29. 691 
1924 
1 
7 
31 
31 
4 
74 
52. 392 
61. 635 
1924 
1 
12 
32 
13 
2 
60 
52. 050 
36. 850 
1924 
2 
24 
33 
3 
62 
52. 597 
24. 919 
1924 
7 
51 
24 
5 
87 
52.311 
42. 621 
1925 
1 
1 
15 
61 
54 
4 
1 
137 
52. 328 
92. 219 
1925 
16 
61 
43 
4 
124 
52. 282 
65. 121 
1925 
1 
27 
104 
50 
5 
187 
52. 166 
95. 861 
1925 
1 
5 
29 
44 
7 
86 
52. 570 
85. 081 
1925 
25 
42 
3 
70 
52. 686 
21. 086 
1926 
1 
37 
183 
150 
18 
389 
52. 378 
207. 450 
1926 
9 
53 
40 
2 
104 
52. 337 
45. 221 
1926 
4 
37 
26 
4 
71 
52. 423 
33. 324 
1926 
8 
27 
18 
2 
55 
52. 255 
30. 436 
1926 
2 
27 
25 
3 
57 
52. 509 
24. 246 
1926 
10 
89 
81 
9 
189 
52. 471 
85. 090 
1926 
1 
3 
64 
274 
144 
7 
1 
494 
52. 178 
250. 324 
1926 
3 
37 
67 
35 
1 
143 
51.958 
87. 748 
1926 
1 
8 
37 
36 
4 
1 
87 
52. 414 
63. 103 
1926 
21 
84 
81 
7 
193 
52. 384 
101. 627 
1926 
9 
48 
26 
3 
86 
52. 267 
40. 849 
1926 
1 
7 
66 
37 
5 
116 
52. 328 
55. 552 
1926 
4 
36 
44 
84 
52. 476 
28. 952 
1926 
3 
24 
197 
171 
16 
411 
52. 421 
198. ISO 
1926 
3 
10 
141 
1,013 
877 
97 
2 
2, 143 
52. 423 
1, 107. 123 
1926 
22 
221 
186 
19 
1 
449 
52. 457 
199. 403 
1926 
1 
1 
1 
21 
190 
145 
8 
367 
52. 357 
156. 371 
1926 
1 
9 
36 
27 
1 
74 
52. 230 
45. 095 
1926 
1 
25 
100 
58 
2 
186 
52. 188 
88. 414 
1926 
8 
34 
11 
1 
54 
52. Ill 
27. 333 
1926 
2 
20 
25 
4 
51 
52. 608 
24. 157 
1927 
1 
1 
11 
77 
64 
11 
1 
166 
52. 440 
108. 898 
1927 
6 
28 
26 
7 
1 
68 
52. 544 
48. 868 
1927 
1 
3 
20 
97 
83 
15 
1 
220 
52. 395 
158. 595 
1927 
1 
7 
32 
27 
1 
68 
52. 294 
36. 118 
Todd 
1927 
1 
13 
75 
62 
9 
160 
52. 394 
102. 194 
1927 
1 
1 
29 
245 
212 
36 
2 
526 
52. 487 
291. 407 
1927 
6 
30 
23 
5 
64 
52. 422 
37. 609 
1927 
2 
29 
24 
4 
59 
52. 508 
26. 746 
1927 
13 
23 
18 
6 
60 
52. 283 
50. 183 
1927 
1 
5 
46 
21 
5 
78 
52. 295 
48 218 
1927 
1 
n 
134 
193 
22 
1 
362 
52. 627 
162. 655 
1927 
i 
37 
41 
3 
1 
83 
52. 590 
34. 072 
1927 
1 
4 
27 
21 
2 
55 
52. 346 
30. 436 
1927 
17 
104 
81 
3 
205 
52. 342 
86 098 
1927 
6 
33 
19 
i 
59 
52. 254 
25. 186 
1928 
2 
24 
47 
a 
84 
52. 798 
39. 560 
1928 
20 
113 
63 
4 
200 
52. 255 
85. 995 
1928 
13 
80 
40 
4 
137 
52. 255 
60. 058 
1928 
11 
71 
32 
2 
116 
52. 216 
45 612 
1928 
4 
26 
24 
4 
58 
52. 483 
30. 483 
1929 
10 
28 
26 
64 
52. 250 
32. 000 
1929 
1 
16 
107 
63 
7 
194 
52. 304 
93. 057 
i Excluding the hypural. 
In using this method, as pointed out by Wollaston, the distribution of the 
variances of the samples must approach normality. Accordingly, before analyzing 
these samples their variances were tabulated, table 4, and the 4 samples indicated 
were discarded, their variances obviously being far outside of the normal range. A 
test of the homogeneity of the remaining 158 samples, comprising 5,964 vertebral 
counts showed definitely that these samples could not all have been drawn from the 
same population, since the observed z of 0.3387 far exceeds 0.1256, the value of z 
calculated at a probability of 0.01. 
Therefore, it must be concluded that the herring of southeastern Alaska are 
composed of more than one population. 
