Application of Statistical Concepts in the Determination of Weight Variation in Samples
Maria Catherine C. Cabrera
Institute of Chemistry, University of the Philippines, Diliman, Quezon City
June 19, 2013
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June 26, 201
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Abstract
In this experiment, different statistical concepts; such as Q-test, Mean, Standard Deviation, Range, and Confidence interval were used to determine the weight variations in samples. Mass of ten 25-centavo coins was determined using analytical balance, treating each as single samples. The values were then divided into two data sets. From this experiment, it can be seen that the values from each data set do not vary greatly from each other.
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I. Methodology
In this experiment, the mass of a 25 centavo coin was determined using analytical balance. The method of weighing by difference was applied. Ten 25-centavo coins were first placed on a watch glass that was then put on an analytical balance on tare. Individually, the coins were removed from the watch glass using forceps. The use of forceps was important so that additional errors due to moisture were avoided. Mass of the coins recorded, and different statistical calculations were performed in order to determine the weight or mass variations among the samples.
II. Results and Discussion
Mass of ten 25-centavo coins, each treated as single samples, were determined. The values obtained were grouped into two data sets, each containing varying amounts of sample sizes.
Table 1. Mass of 25 centavo coins Data Set 1 (g) | Data Set 2 (g) | 3.6230 | 3.6230 | 3.6167 | 3.6167 | 3.5487 | 3.5487 | 3.6317 | 3.6317 | 3.5711 | 3.5711 | 3.5718 | 3.5718 | | 3.5673 | | 3.6240 | | 3.5828 | | 3.5666 |
The table above shows the values obtained from the experiment, separated into two data
References: =(3.5938-3.6230)2+(3.5938-3.6167)2+(3.5938-3.5487)2+(3.5938-3.6317)2+(3.5938-3.5711)2+(3.5938-3.5718)25 =0.0342