London's Pulse: Medical Officer of Health reports 1848-1972

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London County Council 1906

[Report of the Medical Officer of Health for London County Council]

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15
An analysis of children aged 10 in relation to standard and height was made in the last
Report, and illustrated by diagrams. Setting out the data derived from these the following table is
obtained:—

STANDARDS AND STATURE, 10 YEAR OLD CHILDREN.

StandardAverage Stature c.m.Probable Erroró Standard DeviationNumbers Observed.ó2/NCoefficient of Variation;
BoysI.128.27± '855.9942221.6318467
II.126.25± .525.706153.61434.47
III.130.02± .306.1139183.20434.70
IV.131.03± .246.0918273'13594.62
V.133.29± .336.1302153.24564.60
VI.135.53± .905.7532191.74214.24
GirlsI.125.25±.1117.4283202.75915.93
II.125.76±6.9599331.43755.52
III.129 43± .286.3561233.17344.91
IV.13170±6.0216250.14504.57
V.133.775.675494.34274.24
VI.135 08± 1.025.3132122.35253 93

These show that the difference is a real one, and quite exclude the possibilities of random
sampling. The co-efficients of correlation between stature and mental attainment as defined by
standard obtained by the process given on pages 15 and 16 are very high. The result gives for boys r =
.39 ± 0.02 and girls r= .52+0.20
CALCULATION OF CORRELATIONS.
The method of calculating the correlation between two immeasurable quantities, for example,
the relation between boys' vision and mental intelligence as measured by their school standard, is of
some importance in testing conclusions otherwise attained.

In the table given on page 33 of the Report for 1905 will be found the analysis and standard of 5,708 boys aged 10 last birthday.

Vision.Good.Fair.Bad.Totals
Standard I.50281492
70.5614756.69
20.5613.25731
422.71175.5653 44
„ II.2058036321
246.2051 4623.34
41 2028 541266
1 697*4481453160.27
„ III.1,6343981572,189
1,678.94350.9015914
44 9447.10214
2,019 602,218.414.58
„ IV.1,6952841482,127
1,631.39340.96154 63
63.6156.966'63
4,046.233,2444443.96