Appendix E 417 



length deviated by 20 from the assumed mean with respect 

 to number of pods, and hence we must multiply 280 by 20 

 to find the total deviation from both assumed means and this 

 gives us + 5600. 



All the elements in the 2P column are secured in exactly the 

 same way. The third element is zero, since the deviation from 

 the assumed mean for number of pods is zero in this case. The 

 fourth element comes out a minus quantity according to the 

 following calculation: 



1 x -30 = -30 18 x 10 = 180 



11 X - 20 = - 220 5 x 20 = 100 



42 x - 10 = - 420 2 x 30 = 60 



33 x 1 x40 = 40 



^670 2 x 50 = 100 



480 



- 670 + 480 = - 190 x 10 = - 1900. 



The algebraic signs for each quantity must be carefully ob- 

 served throughout the calculations. 



Finally, the algebraic sum of all the elements in the SP column 

 is determined. 1 This will give us the grand total deviation from 

 both assumed means for all the individuals, and hence to find 

 the deviation for each individual we must divide by 500. Per- 



33100 

 forming the operation we get = 66.20. 



oUU 



Now all along we have been working from an assumed mean, 

 or guess, and we must apply a correction, which, mathematicians 

 tell us, must be the product of the correction for length by that 



1 The elements of the SP column can be obtained by finding the total 

 deviation of each vertical array with respect to number of pods and 

 multiplying by the deviation of that array with respect to length, instead 

 of vice versa. The elements will be different, but their sum will be 

 exactly the same by either method. 



