Page:Memory (1913).djvu/47

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The Utility of the Averages Obtained
39

2. In the later series: m = 620, P.E.o = ± 44.


Distribution of the Separate Values
Within the
limits
i.e.
within the
deviation
Number of deviations Of these deviations
there occur
By actual
count
Calculated
from theory
Below Above
110 P.E. ± 4 3 4 .5 1 2
P.E. ± 7 5 7 .6 3 2
¼ P.E. ± 11 11 11 .3 6 5
½ P.E. ± 22 25 22 .2 13 12
P.E. ± 44 44 42 .0 21 23
1 ½ P.E. ± 66 56 57 .8 29 27
2 P.E. ± 88 71 69 .0 38 33
2 ½ P.E. ± 110 76 76 .0 41 35
3 P.E. ± 132 79 80 .0 42 37


By both tables the supposition mentioned above of the existence of a less perfect but still perceptible correspondence between the observed and calculated distribution of the numbers is well confirmed.

Exactly the same approximate correspondence must be presupposed if, instead of decreasing the number of series combined into a test, the total number of tests is made smaller. In this case also I will add some confirmatory summaries.

I possess two long test series, made at the time of the earlier tests, which were obtained under the same conditions as the above mentioned series but at the later times of the day, B. and C.

One of these, B, comprised 39 tests of 6 series each, the other, C, 38 tests of 8 series each, each series containing 13 syllables. The results obtained were as follows: