Sept. IS, 1919 



Variation in Milk of Ayrshire Cows 



305 



In the graduating of the observational data Pearson's (18, 20) skew 

 frequency curves and his method of moments have been used through- 

 out. In the tables the moment coefficients are given in terms of units of 

 grouping. 



Only the distributions for the ages 3 to 12 years, inclusive, have been 

 subjected to analytical treatment. Outside of these limits the numbers 

 involved become so small as to make the discussion of them from the 

 point of view of mean weekly yield and fat percentage not worth the 

 labor involved. 



Tabi,E VIII. — Constants for variation in fat percentage 



ft. .. 



VS. 



fi2... 



Skewness 



d (percentage) 



a- (percentage) 



Mean (percentage). 

 Mode (percentage) . 

 Range (percentage . 

 + End of range. . . . 

 — End of range. . . . 

 Yo percent 



P.E. VS 



P. E.02 



P. E. Skewness. . , . 



614 

 14- 7683 



21. I714 



734-3389 



• 1392 



• 3730 

 3-3669 



• 3669 

 .3164 

 ■ 3416 

 .1697 

 .0652 



• 3843 

 3-9151 

 3. 8499 



10.6700 



± .0667 



± -1334 

 ± • 0333 



82s 



II- 7975 



II. 600s 



434- 5862 



.0820 



.2863 



3- J225 



. 1225 



. 0009 



- 6.8108 



•1432 



.0492 



•3435 



3- 8947 



3-8455 



1.4607 

 11.6700 



± -0575 

 ± .1150 

 ± .028S 



S26 



. 12.8584 



19.9750 



582-6387 



.1887 



•4332 



3-5239 



•5239 



.4848 



•3044 



.1886 



.0676 



.3586 



3- 7696 



3- 7020 



11.0700 

 ± .0721 

 ± .1441 

 ± . 0360 



591 

 10. 6362 

 5-8796 

 342. 3461 



• 0287 

 .1695 



3. 2036 



.0262 



•0338 



.6413 



.0857 



.02S0 



.3261 



3- 7804 



3-7524 



IS- 7482 



16. 5764 



• 8283 

 12.2400 



.0680 

 •1359 

 .0340 



909 



11-9935 



10. 5807 



460. 8242 



.0649 



.2548 



3- 2036 



.2036 



. 2126 



•2327 



. 1192 



.0413 



•3463 



3- 7160 



3- 6747 



± .0548 

 ± . 1096 

 ± -0274 



6 years. 



10. 1970 



7-6514 



330- 2351 



•0553 



-2350 



3- 1760 



. 1760 



• 1863 



•2254. 



.1108 



-0354 



-3193 



3- 6852 



3-6498 



. 7000 

 -0583 

 - ii6s 

 ■ 0291 



N 



/*2 



W 



M< 



ft^ 



V/3i 



ft 



|82-» 



Kl 



K2 



Skewness 



d (percentage) .... 

 <r (percentage). . . . 

 Mean (percentage) 

 Mode (percentage) 



Range 



+ End of range . . 

 — End of range. . , 



Yo per cent 



P.E. -VS 



P.E- ft 



P. E. Skewness. . 



)- 4598 



J-OI93 

 I- 7592 

 .0298 



•1725 



!. 7400 



- 2600 

 .6093 

 •0370 

 . IO7I 

 •0330 

 .3076 

 .6906 

 •6576 

 .6461 

 -2643 

 .6182 



- 2600 

 .0619 

 •1237 

 •0309 



8 years. 



637 



9. 9688 



9. 8014 



309.5716 



.0970 



■3114 



3-1151 



-1151 



. 0607 



1 . 2 2 70 



.1589 



.0502 



-3157 



3-6637 



3-6136 



13-3421 



15-2865 



1.9445 



12. 7600 



•065s 



• 1309 



.0327 



459 



9- 1889 



4-8556 



247. 6547 



•0304 



•1743 

 2- 9330 

 .0670 

 .2251 

 .1021 



-3031 

 3- 6362 

 3-6076 

 4- 57-0 

 6-6211 

 2.0441 

 13.0100 

 .0771 

 .1542 

 .0386 



320 



8.4448 



7-5919 



228. 2603 



.0957 



•3094 



3. 2008 



. 2008 



.1144 



.6425 



.1492 



-0434 



. 2906 



3.6003 



3- 5569 



13-9500 

 ± .0924 

 ± . 1847 

 ± . 0462 



202 



9- 5987 



9- 1894 



250. 6424 



.0955 



•3090 



2. 7204 



. 2796 



- .8457 



. 0872 



•2194 



.0680 



-3098 



3-6292 



3-5612 



2- 7333 



4- 9959 



2. 2625 



12.3700 



•1163 



•2325 



.05S1 



116 



10. 6494 



10.0965 



361. 60H 



.0844 



-2905 



3- 1885 



.1885 



-1237 



-5225 



-1397 



-0456 



-3263 



3S99I 



3-5535 



12. 4200 



± • 1534 

 ± .3068 

 ± -0767 



