Application of Statistical Concepts in the Determination of Weight Variation in Samples
Application of Statistical Concepts in the Determination of Weight Variation in Samples
del Castillo, Kevin S.
Department of Food Science and Nutrition, College of Home Economics
University of the Philippines, Diliman, Quezon City, Philippines
Date: 26 November 2012 ____________________________________________________________________________________
Results and Discussion
Statistics is one of the important tools used in chemistry. It defines the measurements gathered, and characterizes the relationship of each value to each other. The experiment aimed to use statistical concepts in evaluating the gathered data, find the inevitable errors, and qualify the different parameters of the said data set. Ten one-peso coins were weighed carefully on the analytical balance, separated in to two data sets (see Appendix A, Table 2). It is important to use forceps to prevent undesired fingerprints, which can add undesired weight, while handling the coins. The Ohaus Analytical Plus Series analytical balances were used for the weight analysis. An analytical balance is a weighing tool with a capacity that ranges from 1 g to a few kg with a precision of at least 1 part in 105 at maximum capacity.(2) The statistical parameters of both sets can be found on Table 1. Table 1 Calculated Values of Several Statistic Parameters Parameter | Data Set 1 | Data Set 2 | Mean (X) | 5.3797 0.0005 | 5.3866 0.0005 | Standard Deviation (S) | 0.01326 | 0.00451 | Relative Standard Deviation (RSD) | 2.4658 | 8.3728 | Range (R) | 0.0376 0.0003 | 0.166 0.0003 | Relative Range (RR) | 6.9892 4.1935 | 30.817 18.490 | Confidence Limits (CL) | 5.3797 0.01392 | 5.3866 0.04222 | The measures of central
del Castillo, Kevin S.
Department of Food Science and Nutrition, College of Home Economics
University of the Philippines, Diliman, Quezon City, Philippines
Date: 26 November 2012 ____________________________________________________________________________________
Results and Discussion
Statistics is one of the important tools used in chemistry. It defines the measurements gathered, and characterizes the relationship of each value to each other. The experiment aimed to use statistical concepts in evaluating the gathered data, find the inevitable errors, and qualify the different parameters of the said data set. Ten one-peso coins were weighed carefully on the analytical balance, separated in to two data sets (see Appendix A, Table 2). It is important to use forceps to prevent undesired fingerprints, which can add undesired weight, while handling the coins. The Ohaus Analytical Plus Series analytical balances were used for the weight analysis. An analytical balance is a weighing tool with a capacity that ranges from 1 g to a few kg with a precision of at least 1 part in 105 at maximum capacity.(2) The statistical parameters of both sets can be found on Table 1. Table 1 Calculated Values of Several Statistic Parameters Parameter | Data Set 1 | Data Set 2 | Mean (X) | 5.3797 0.0005 | 5.3866 0.0005 | Standard Deviation (S) | 0.01326 | 0.00451 | Relative Standard Deviation (RSD) | 2.4658 | 8.3728 | Range (R) | 0.0376 0.0003 | 0.166 0.0003 | Relative Range (RR) | 6.9892 4.1935 | 30.817 18.490 | Confidence Limits (CL) | 5.3797 0.01392 | 5.3866 0.04222 | The measures of central
References: (1) Christian, G. D. Analytical Chemistry, 3rd ed.; National Book Store, Inc: Philippines, 1980; pp. 63 – 77. (2) Crouch, S. R.; Holler, F. J.; Skoog, D.A.; West, D. M. Analytical Chemistry: An Introduction, 7th ed.; Brooks/Cole: Singapore, 2000; pp. 103 – 149 (3) Skoog, D (4) Walpole, R.E. Introduction To Statistics, 3rd ed.; Pearson Education South Asia Pte Ltd.: Singapore, 2006; pp. 23 Appendix