44 STATISTICAL METHODS. 



In the example, the curve of which is shown in Fig. 22, the 

 frequency between the limits is given in column /; the fre- 



x 

 quency reduced to percents in column headed %. The - '- of 



the limit is found and the entries in Table IV corresponding 

 to the quotient are taken. These are added in pairs as indi- 

 cated, one above and one below the mean, and the sum is 

 compared with the sum of the observed cases within those 

 limits (in italic figures). The closeness of agreement indicates 

 the closeness with which the observed frequency follows the 

 normal frequency. 



V. Table of log T functions of q. This table 

 will enable one to solve the equations for y given on page 23. 

 The table gives the logarithms of the values of F functions 

 only within the range p = 1 to 2. As all values of the func- 

 tion within these limits are less than 1, the mantissa of the 

 logarithms is 1 ; but it is given in the table as 10 1 = 9, 

 as is usually done in logarithmic tables. 



Supposing the quantity of which we wish to find the value 

 reduced to the form r(4.273). The value cannot be found 

 directly because the value of p is larger than the numbers in 

 the table (1 to 2). The solution is made by aid of the equation 



logr(1.273) = 9.955185 

 log 1.273 =0.104828 



logT(2.273) = 0.060013 

 log 2.273 =0.356599 



log r(3. 273) = 0.416612 

 log 3.273 =0.514946 



log T(4. 273) = 0.931558 



or, more briefly, log r(1.273) = 9.955185 



log 1.273 = .104828 

 log 2.273 = .356599 

 log 3.273 = .514946 



log T(4.273) = 0.931558 = log 8.542 



