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It will be seen from these proportional values, that although there is a general tendency in the head towards a higher average temperature as we go up the scale of atmospheric temperature, yet there are many and marked breaks and retrogressions in this upward movement. For example, at a temperature of the air of 11.9444° C., the average temperature of the head is found to be 35.8° C.; but this temperature is reduced in the next higher observation in the scale of atmospheric temperatures—then partly regained, but again reduced—and finally, after fluctuating up and down-without, however, rising so high as 35.8° C.-passes above its first point only at a temperature of the air of 19.4444° C. Again, the temperature of the head-average, maximum, and minimum all included-is higher with the temperature of the air at 12-4444° C. than with this latter temperature at 20.75° C.

Table 6, which includes all the observations of the first four tables-and in which the different individual temperatures of the head are arranged in a regular sequence from the highest to the lowest, each accompanied by the particular temperature or temperatures of the air with which it is foundshows plainly the many exceptions to an exact relation between the degree of temperature of the head and that of the air. Thus a temperature of the head of 35.5° C. is found with temperatures of the air varying from 8.8888° C. to 18.8888° C.; and a temperature of the head of 35·30° C. is found with an atmospheric temperature ranging from 13-8888° C. to 20.75° C.

If we take the average of all the temperatures of the air found with temperatures of the head at and above 35° C., and the average of all the temperatures of the air found with temperatures of the head below 35° C., we obtain the following values:

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Average temperature of the air found
with temperatures of the head
at and above 35°C.

11.4704°C.

Average temperature of the air found with temperatures of the head

below 35°C.

7.5390°C.

Here the average temperature of the air accompanying the set of higher temperatures of the head is above the corresponding value found with the set of lower temperatures of the head by 3.9310° C.

If we take the average of all the temperatures of the head found with temperatures of the air at and above 11.6666° C., and the average of all the temperatures of the head found with temperature of the air below 11.6666° C., we have the following results:

Average temperature of the head found
with temperatures of the air
at and above 11.6666°C.

35.4647°C.

Average temperature of the head found with temperatures of the air below 11.6666°C.

34.3117°C.

The average temperature of the head is, therefore, a little higher between 11.6666° C. and 21.1111° C. (highest temperature noted) than between 11.6666° C. and 2° C. (lowest temperature noted).

If we take the average temperature of the air, and the average temperature of the head in each table we have the following values:

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From the above values there appears to be a general relation between the average temperatures of the air and of the head in the several tables compared with each other: thus as the average temperature of the air falls, in the list, the average temperature of the head likewise declines; but the fall in the head is but slight compared with that occurring in the air, the maximum of the former being only 1.6° C., while the latter, at its greatest, is 11.9° C.

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