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Height in

centi

Frequencies of statures of American boys, in percentages.

Ages, in years.

5.589 6.536 7.511 8.504 9.496 10.494 11.492 12.489 13.481 14.467 15.454 16.445 17.453 18.424

meters.

01-92.99..

0.4

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Cases

1,535 3,975 5,379 5,633 5,531 5,151 4,759 4,205 3,573 2,518 1,481 753 429

229

Average

height.. 106.41 111.78 116. 89 122. 06 1:26. 89 131. 75 136. 17 140, 68 145. 88 152. 14 159, 48 164. 63 168. 81 170. 91 Average variation +3.83 3.98 ± 4.17 +4.35 +4.56 + 4.78 + 4.975.35+ 6.04+ 6.8847.316. 15+ 5.78 5.45 Mean vari

ation Corrected

average

for half

year Mean variation corrected Mean vari

ation at

+4.81 +4.92 -5.22 -5.53 +5.66 5.90 6.32 6.79 7.69 8.65' +8.92 47.777.25 16.76

105.90 111.58 116.83 122. 04, 126. 91 131. 78 136. 20 140. 74 146.00 152.39 159. 72 164. 90 168.91 171.07

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5.53 ± 5.66 ± 5.90 £6.32 46.80 +7.71 ±8.65 4:8,87:7. 75 ± 7.23 .6.74

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half year
+ (4.40) ± 4.66 +5.00 +5.34. + 5. 48 +5. 74 +6. 20 + 6. 62 +7.54 +8.49 +8.61 £7.63 £7. 15
+5.00

Frequencies of statures of American girls, in percentages.

Height in centi

meters.

Ages, in years.

5.611 6.545 7.513 8.501 9.497 10. 495 11. 494 12. 490 13. 479 14. 471 15. 466 16. 473 17.466

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Cases

1,260 3,618 4,913 5,289 5, 132 4,827 4,507 4, 187 3, 411 2,537 1,656 1,171

790

Average height 105. 45 110. 32 116. 16 121. 21 126. 13 131. 24 136.58 142. 46 148. 58 153. 41 156. 45 158. 00 159. 11 Average variation. +3.74 +3.98 +4.23±4.45 ±4.51 ± 4.91 ±5.45 +5.98 ±5.89 +5. 18 +4.68 ± 4.64 +4.43 Mean variation +4.69 +5.09 +5.25 +5.58 +5. 736. 18 +6.83 +7.57 +7.38 +6.71 +5.96 ±5.79 ± 5.75 Corrected average 104. 88 110.08 116.08 121. 21 126. 14 131. 27 136. 62 142. 52 148. 69 153. 50 156. 50 158.03 159. 14 Mean variation corrected +4.64±5.07 +5.25 +5.58 ±5.73 ±6.18 ±6.837.57 ±7.37 ±6.69 ±5.96 ±5.79 ±5.75 Mean variation at half year

+4.78 £5.01 +5. 46 +5.54 +6.00 +6.63 ± 7.41 ±7.20 ±6.57 +5.88 £5.65

From the preceding facts and considerations we conclude that the averages and variabilities of growing children must not be considered more than indices of the typical conditions characteristic of a certain age. In order to determine these accurately, the asymmetry of the distributions must be taken into account. This, however, can not be done, except by the expenditure of a vast amount of labor, until a sufficient series of observations, taken according to the individualizing method, is available.

GROWTH AS DETERMINED BY THE TOTAL SERIES OF TORONTO CHILDREN.

I give first of all a table of statures grouped in periods of quarter years. In this tabulation all those individuals who did not expressly state that their age was so

and so many years and no months were omitted, because there is a considerable probability that in many cases of this sort the number of months was not recorded. For this reason the number of children corresponding to the full years and no months is too small. It might have been better to group the material as follows: 11, 0, 1 months; 2, 3, 4 months; 5, 6, 7 months; 8, 9, 10 months: but I did not do so, in order to preserve the comparability with other series which extend over the whole year. The records of ages show that in order to obtain accurate results the question ought not to be simply for years and months, but we should ask for the age at the last birthday, age at the coming birthday, and the date of the birthday. When we simply ask for years and months, the person answering the question will often first give the age at the nearest birthday, particularly when the approaching birthday is not far distant, and then add the number of months passed since the last birthday, thus introducing an error of a whole year. This was noticed to occur in the Worcester measurements that were repeated after the lapse of a year, Accuracy can be attained only by the three questions given before. The following are the tables of statures:

Statures of Toronto boys, grouped in quarter-year periods.

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102 121 104.5 107.3 108.1 109.7 110.3 111.1 113.1 114.9 115.5 117.7 118.3

103 155

173

182

191

225 242

188

Mean varia

tion....

4.44 4.70 ±5.07 ±4.60±4.59 ±4.48 ±4.29 +5.25 +4.17 ±4.67 ±4.83 ±5.40

Statures of Toronto boys, grouped in quarter-year perioas-Continued.

Number of boys of the following ages.

Height in centimeters.

8 years and

9 years and

10 years and

0 to 2 3 to 5 6 to 8 9 to 11 0 to 2 3 to 5 6 to 8 9 to 11 0 to 2, 3 to 5, 6 to 8 9 to 11 mos.

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198 251

260

229

194 211

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119.7 121.3 122.2 123.5 125.1 125.6 127.0 127.9 129.9 130.2 132.2 132.9 +5.08 16.01 ± 5.31 £5.13 14.47

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Statures of Toronto boys, grouped in quarter-year periods—Continued.

Number of boys of the following ages.

Height in centimeters.

11 years and-

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