7" THEORY OF STATISTICS. TasLe IL —Showing the Numbers of Married Women, in certain Quaker Families, Dying at Different Ages. (Cited from Proc. Loy. Soc., vol. 1xvii. (1900), p. 172. On the Correlation between Duration of Life and Number of Offspring, by Miss M. Beeton, Karl Pearson, and G. U. Yule.) Number of Number of ; 4 ! Age at Death, Poms Dying Age at Death, i Pi Dying Yenrd etween onTs etween : said Years : said Years of Age. of Age. 175-225 29 62°5— 67°5 73 225-275 87 67°5- 725 83 27'5-32°5 99 72'5- 77'5 77 325-375 109 77'5- 825 78 37:5-42°5 90 82:5— 875 59 425-475 87 87:5—- 925 26 47:5-52°5 64 92:5- 97°5 7 525-575 54 97°5-102°5 575-625 69 - Total -295 The distribution is somewhat more irregular than in the last case; the commencement is abrupt; a maximum frequency is attained in the fourth class (age at death 325 to 37°), and then there is a slow fall to the age-class 525-575. After this class the frequency rises again and attains a secondary maximum in the age-class 67°5-72°5. (c) Table III. The numbers of stigmatic rays on a number of Shirley poppies were counted. As the range of variation is not great, the unit is taken as the class-interval. The frequency- distribution is given by the following table. TaBLE III. —Showing the Frequencies of Seed Capsules on certain Shirley Poppies, with Different Numbers of Stigmatic Rays. (Cited from Biometrika, ii. p. 89, 1902.) Number of Number of Number of Capsules Number of Capsules Stigmatic with said Stigmatic with said Rays. Number of Rays. Number of Stigmatic Rays’ Stigmatic Rays. 5 3 14 302 { 11 15 234 | B=: 16 128 106 17 50 10 | 152 18 19 i 238 19 } Ar 305 20 13 315 Total 5 8 100 i 190F