138 APPENDIX
MATHEMATICAL PROPERTIES OF PROBABILITY CURVES FOR COMBINED PERIODS (continued).
M id d le a n d N ew E m p i r e , i. e . S i x t h to T w e l f t h D y n a s tie s , T w e lf th to F i f t e e n t h f r o m A b y d o s
a n d HoUy E ig h te e n th f r o m A b y d o s a n d S h e k h Aliy T h i r t ie t h D y n a sty .
Males.
U p p e r F a c ia l In d e x , n b e in g 3 2 1 .
M ± R = 5 6 * 3 0 + - i i . ij — 3*37. r = 1*93.
c — 4 *0 3 . — -= = 44*93. M is f i t 30 °/0.
c v 7r
H a l f e x am p le s b e tw e e n 54*38 an d 58*13.
N a s a l I n d e x , n b e in g 335 .
M ± R = 49*50 ± * 1 9 . 7? = 3*40* r = 8*87.
c = 6*03. — — = 31*30. M is fit 1 9 °/0.
c v t r
H a l f e x am p le s b e tw e e n 46*63 a n d 52*37*
C e p h a lic In d e x , n b e in g 345 .
M ± R = 73*04 + * i3 . tj = 3*86. r = 3*31.
c = 5*08. — -=. = 38*00. M is f i t 1 5 °/0*
£ v 7T
H a l f e x am p le s b e tw e en 71 *33 7 5 *95*
E s t im a te d C r a n ia l C a p a c i t y , n b e in g 343.
M ± R = 14 0 1*6 + 5*3. ij = 94*3. r = 79*7.
c = 167*3. — = = 33*08. M is fit 4 4 % .
c V it
H a l f e x am p le s b e tw e e n 13 31*9 an d 1481*3.
V e r t i c a l In d e x , n b e in g 343.
M ± R = 7 3 * 3 i + * n . 17 = 3*37. r = 3*00.
£ = 4*30. ——-=r = 48*96. M is f i t 1 7 °/0.
c V i r
H a lf e x am p le s b e tw e e n 7 1 *3 1 a n d 75*21.
P e r io d o f F o r e ig n D om in a tio n , i.
Males.
U p p e r F a c ia l In d e x , n b e in g 1 1 9 .
M ± R = 55*38 + *33. ij = 3*80. r — 3*37. A
c = 4*96. — -r= = 13 *53. M is f i t 3 7 % .
c v i r
H a l f e x am p le s b e tw e e n 53*91 a n d 57*65.
N a s a l I n d e x , n b e in g 13 3 .
M ± R = 4 9 * 3 3 + *34. tj = 3*10. r = 3*63.
£ = 5 *4 9 * — -= = 13*6+ M is f i t 3 6 °/o.
c f IT
H a l f e x am p le s b e tw e en 46*61 a n d 51*85.
C e p h a l ic In d e x , n b e in g 138.
M ± R = 74 *39± * 3 i . ij = 3*93. r = 3*41.
c = 5*18. — = 14*00. M is f i t 3 5 °/0.
CV 7T
H a l f e x am p le s b e tw e en 71*98 a n d 76*80.
E s t im a te d C r a n ia l C a p a c it y , n b e in g 13 4.
M + R — 13 81 *8 + 5*6. tj = 73*7. r = 63*3.
c = 130*7. — — — 10*71. M is f i t 3 8 % .
c v it
H a l f e x am p le s b e tw e en 13 19 * 5 a n d 1444*1.
V e r t i c a l In d e x , n b e in g 13 5 .
M + R — 7 1 * 8 9 + *17. ij = 3*39. r = 1*94.
c = 4*06. - ^ = = 17*38. M is f i t 3 3 % .
c V It
H a l f e x am p le s b e tw e e n 69*95 a n d 7 3 *83*
F em a l e s .
U p p e r F a c ia l In d e x , n b e in g 3 3 1 .
M + R = 56*36 + *i i . 17 = 3*35. r = i * 9 i .
c = 4*00. — -= = 45*35. M is fit 1 3 % *
c v 7r
H a l f e x am p le s b e tw e e n 54*35 a n d 58*17.
N a s a l In d e x , n b e in g 350.
M + R = 5 0 *9 9 ± * i 6. tj = 3 .5 6 . r — 3*01.
c — 6*33. % t= = 31*36. M is f i t 3 7 °/D.
c v it
H a l f e x am p le s b e tw e e n 47*98 a n d 54*00.
C e p h a l ic In d e x , n b e in g 365 .
M ± R = 74*97 ± *i i . 17 = 3*47. r — 3*09.
c = 4 -3 7 - — 7= = 4 7 -°5- M is fit 1 9 %
CV 7T
H a l f e x am p le s b e tw e e n 73*88 a n d 77*06.
E s t im a te d C r a n ia l C a p a c i t y , n b e in g 363.
M ± R — I3 6 i* 6 ± 3 * 4 . 17 = 7 5 .7 . r = 63*9.
c = 13 4 *1 . — 7= = »9*77* M is f i t i8 ° / 0.
c v it
H a l f e x am p le s b e tw e en 1 19 7 * 7 a n d 1335*5.
V e r t i c a l In d e x , n b e in g 364 .
M ± R = 73*31 + * n . 17 = 3*37. r = 3*oo.
c = 4*30. — = = 4 8 * 8 5 . M is f i t 1 4 % .
CV 7T
H a l f e x am p le s b e tw e e n 7 1 *3 1 an d 7 5 *a i *
5. P to lem a ic a n d R om a n P e r io d s .
F em a l e s .
U p p e r F a c ia l In d e x , n b e in g 10 4 .
M + R = 54*97 ± *30. 17 = 3*46. r — 3*08.
1 = 4 -36- R i f = I 3*4 7 * M is f i t a s ’/ .•
CVTT
H a l f e x am p le s b e tw e en 52*89 a n d 5 7 *°5*
N a s a l In d e x , n b e in g 10 7 .
M ± R = 5 o *7o ± * 3 4 . 77 = 4*13. r - 3*47*
c = 7*3 1. = = 8*36. M is f i t 3 7 °/0.
c V i r
H a l f e x am p le s b e tw e en 47*33 an d 5 4 ,][7*
C e p h a l ic In d e x , n b e in g 1 1 3 .
M ± R = 75 * 7 1 ± *31. tj = 3*63. r = 3*31.
c = 4*64. — = = 13 *6 1 . M is f i t 3 5 % •
c V it
H a l f e x am p le s b e tw e e n 73*50 an d 77-92.
E s t im a te d C r a n ia l C a p a c i t y , n b e in g 10 9 .
M ± R = 13 4 3 *6± 6 * i . 77 = 76*3. r = 63*6.
c = *35-3- — 7 = = 9'°9- M is f i t 40
C V IT
H a l f e x am p le s b e tw e en i i 8o*o a n d 1307*3.
V e r t i c a l In d e x , n b e in g n o .
M ± R = 7 3 * 3 8 ± * i 8. 77 = 3*3 0 . r = i*86.
c = 3*90. '— = = 15 *9 1. M is fit 3 1 °/0.
c V i r
H a l f e x am p le s b e tw e en 70*43 a n d 7 4 *I 4 *
MATHEMATICAL PROPERTIES OF PROBABILITY CURVES FOR COMBINED PERIODS (continued,).
A l l P e r io d s e x c ep t M e d um a n d D e shasheh,
Ma l e s .
U p p e r F a c ia l In d e x , n b e in g 603.
M ± R = 55*63 ± * 10 * ij = 3*81. r = 3*38.
= 4.9 9 . — - = = 71*44* M is f i t 1 9 % .
CV IT
H a l f e x am p le s b e tw e en 53*24 an d 58*00.
N a s a l In d e x , n b e in g 656.
M ± R = 49*7o + *i i . 77 = 3*14* r — 2*91.
c = 6 * io . -— = = 6 0 * 6 3 . M is f i t 1 3 % .
c f 7r
H a l f e x am p le s b e tw e e n 46*79 a n d 52*61.
C e p h a l ic In d e x , n b e in g 729*
M ± R = 73*36 + *08. 77 = 3*59. ^ = 3*19.
c = 4*59. — 7= = 89*71. M is f i t i2 ° / 0.
CVTT
H a l f e x am p le s b e tw e en 7 1 * 1 7 and 75*5 5 *
E s t im a te d C r a n ia l C a p a c i t y , n b e in g 678.
M ± R = 1400*8 + 3*8. 17 = 87*3. * * = 7 3 * 8 .
c: = 154*7. — = = 49*88. M is fit 1 6 % .
c f tr
H a l f e x am p le s b e tw e e n 1337*0 a n d 1474*6*
V e r t i c a l In d e x , n b e in g 684.
M + R — 73*75 ± * o 8 . 17 = 3*40. ^ = 3*03.
= 4 *2 5 - : 9°*7 5 * M is f i t 1 1 °/0.
c V it
H a l f e x am p le s b e tw e en 70*73 a n d 7 4 *7 ^*
F em a l e s .
U p p e r F a c ia l I n d e x , n b e in g 6 1 7 ,
M ± R = 55*78 ± *08. tj = 3*41. r = 3*03.
c = 4-2 7. - 4 = = 81-53. M i s f ! l 1 1 7 .-
CV It
H a l f e x am p le s b e tw e e n 53*75 an<I 5 7 *8 i*
N a s a l I n d e x , n b e in g 686.
M + R = 5 i * 0 9 ± * i i . 77 = 3*49* ** = 2*95*
t = 6 * i 8 . - ^ = = 63*63. M is f i t 1 6 °/0.
cV 7r
H a l f e x am p le s b e tw e e n 48*14 a n d 5 4 *°4 *
C e p h a lic In d e x , n b e in g 7 5 3 .
M ± R = 74*53 + *o8. 17 = 3*56. r = 3*17.
= 93.44. M is f i t 1 3 °/0.
= 4 *5 4 * C\/7T
H a l f e x am p le s b e tw e en 73*35 a n d 76*69.
E s t im a te d C r a n ia l C a p a c i t y , n b e in g 7 1 6 .
M ± R = 1 3 6 1 *3 ± 2*4. tj = 7 7 * i. r = 63.5.
= 133*2. = 60*67. M is f i t 1 3 % .
c v it
H a l f e x am p le s b e tw e e n 1197*7 anc* 1324*7*
V e r t i c a l I n d e x . « b e in g 7 3 3 .
J / + i 2 = 7 3 * 8 5 + *07. 77 = 3*35. r = 1*90.
£ = 3*99. — = = 10 3 *15 . M is f i t 1 1 % •
c V it
H a l f e x am p le s b e tw e en 7°*95 an<* 7 4 *75*
A n e r ra tum -s lip to accompany C h a r t I .
I n C h a r t I F , F ig . 3 (M a le s o f s ix th t o tw e lf th d y n a s t ie s , v e r t ic a l in d e x ) , th e a r i thm e t ic a l m e an
s h o u ld b e q u o t e d a s 73-98. C o n s e q u e n t ly th e C u r v e o f P r o b a b i l i t y s h o u ld b e d r aw n o n e u n i t to th e
le f t o f i t s p re s en t p la c e , a n d th e m is fit b e s ta te d a s 30 p e r c en t .