Statistical Methods Applied to Education; a Textbook for Students of Education in the Quantitative Study of School Problems

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2. The median, — a "counting" average.
3. The arithmetic mean, — an arithmetic average based on the value of each measure.
4. The harmonic mean, — an average for use in averaging time rates.
5. The geometric mean, — an average with particular uses in averaging rates of increase.
Of these, by far the greater use is made of the median and arithmetic mean. It is necessary next to establish the proper function, limitations, and specific use of each of these meth- ods of averaging.
VI. Statistical F
...allacies and Mooted Points in Averaging As students of education have turned to the use of quanti- tative methods, many fallacies have been evident in their manipulation of statistical devices. These are found in con- nection with methods of averaging, of measuring dispersion, of measuring correlation, and of determining the rehabihty of measures. We shall discuss each of these pitfalls in the use of statistical methods as we take up each phase of the work. We must point out here, then, certain typical fallacies in averaging, and proceed to the thorough analysis of the proper use of averages.

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