1922] DENNY—FRUITS 45 
separately, as given in table I. At the bottom of the table will be 
found the values for the probable error of the mean and the probable 
error of a single observation. These were calculated from the 
2d? : 
following —— P.E. mean= 0.6745 | P.E. sing. 
erehen ieee (n - ; where ‘‘n” is the number of variates (in this 
TABLE I 
COMPOSITION OF FIFTY-ONE ORANGES, WASHINGTON NAVEL VARIETY 
Desrees!* © ercent-|Percent-| Sol. sol. Degrees Percent-|Percent Sol. sol. 
Orange no. fen age of poig = Orange no. foie age ver ove by bev 
1 SAO One 12.801 9.63] 0.98 | 13.05] 30......... 13.70] 10.91] 1.07] 12.80 
ae tee oy 13.10] 10.30] 0.98 13.35) 31---.-+-- 4.00] 10.93] 0.96] 14.60 
Soe ea 9:50) 9.40) 1.08 | 12.60) 3200.005. 13.70} 10.68) 1.14] 12.00 
eee es 13.70} 10.44] 1.14 taps Bh owes 15.30] I1.92| 1.15] 13.30 
Ae PEE 54-4021. 77) 2.00 |. 33.00) 34.. 030s. 13.85] 10.83] 1.06] 13.05 
Le aerate 15.00] 11.14] 1.06 14.15] 6 eral os 13.20) 10.37/ 1.G2] 12:95 
: eee 13.90| 10.85] 0.84 10.55, CY Taree 14.70] 11.51] 0.86] 17.10 
Bo tees Ro AO) £05481 0:08 °))'2. 9OR 37 ea I14.75| 10.96] 1.04} 14.20 
Dicky Ob) 13.70] 10.94] 0.93 14.75; Yee 1§.30| 11.57} 1.29] 11.85 
RE oars £3679) 110.06) 0.44 || 10, 201: 30sc0as 5 15.30] 11.46] 1.23) 12.45 
ite One eae 13.55| 10.71] 0.90 15.05) Pe eae 3-75| 10.88) 0.91| 15.10 
TR clk, £3195) TO: 04):7598 | 20-00) O00 5 s. 13.40] 10.18] 1.29] 10.40 
5, ale Ogi 13.20] 10.35] 0.94 14-05) Wy Gane ee 3-35| 10.33] 1.19] 11.20 
Me ee eC 13.95} 10.85] 0.98 14.25, 43 see Ny 13.45| 10.09] 1.24] 10.85 
eee 14.30] 10.83] 0.96 14.90, BAY Sea's 4-45| I1.00] 0.94} 15.35 
car er 15.05] 11.59] 0.95 | 15.85] 45-.-...-- 12.80] 10.05] 1.15} 11.15 
Ly Rn ae 14.90] 11.80] 1.02 4.60, BO eas 14.00] 10.76] 1.27] I1.00 
168 13,20|. 50,30) 4.06 (222. 100-47. 2... 14.70] 11.26} 0.86) 17.10 
os Sey 15.25} 12.05] 1.00 15.25] 48 EOC 14.90 44| 0.98) 15.20 
nie 13.40] 10.53] 1.02 | 13.15) 49......-- 12.60 35| 1.07] 11. 
Oe, 14.85} 11.18] 1.41} 13. oO SOC easy 14.80] 10.88} 1.31] 11.30 
vind RP ee 13.401 74.551 0. OF 1145.28) S80 0 14.10] 11.13} 1.16} 12.15 
a 14.45] 11.49| 0.82 | 17.60) 
oe a re 13.80] 10.99] 0.91 | 15.15) Mean..... 14.00] 10.89} 1.05) 13.60 
oi ee 13.00) 10.20] x44) 14. 15 
Oy un. 14.45] 11.28] 1.22 11851 P.E. mean. |+0.07|+0.06|+0.01/+0.17 
eee 14.30) 32.25] ©.05 | 133. 
ete 14.60] 11.61] 1.12 | 13.05) P.E.sing. .|+0.5 |+0.4 |+0.09/+1.3 
Meet, 14.55] 11.40] 0.87 16.70) 
cee 
case fifty-one), and Ed? is the sum of the squares of the deviations 
of each measurement from the mean. For example, in the column 
under brix, table I, “‘d”’ is the deviation of 12.80 from 14.00, etc. 
The probable error of a single sample and the probable error of 
Ph. mean are connected in the following manner: P.E. mean= 
Vu ae: , So that after a value for P.E. sing. has been found, the 
