Application of Statistical Concepts in the Determination of Weight Variation in Samples
Application of statistical concepts in the determination of weight variation in samples
G.E. Institute of Biology, College of Science
University of the Philippines, Diliman, Quezon City, Philippines
Date Submitted: April 23, 2013
ABSTRACT
Statistics is a mathematical science dealing with the collection, organization, analysis, interpretation, and presentation of data. It provides a more accurate way of expressing data rather than mere observation. This experiment used the different statistical concepts such as the Q test, mean, standard deviation, relative standard deviation, range, relative range, and confidence limits or confidence intervals. The results generated from these tests are used as a basis to check whether the values obtained from weighing 10, 25 centavo coins using an analytical balance and which were grouped into two data sets, are acceptable or not. It can be seen that when the statistical concepts were applied to data set 1 and data set 2, the resulting values obtained do not greatly vary. However, it can’t be proven that the results do not differ significantly since there was no test performed to check this.
RESULTS AND DISCUSSION
Different weights were obtained from the 10- 25 centavo coins using the analytical balance. Each weight is considered as a single sample. The samples were grouped into two data sets. The first dataset contains six samples while the second data set contains 10 samples. The table below shows the two data sets with their corresponding samples.
Table 1. Weight of samples grouped into two sets DATA SET 1 (g) | DATA SET 2 (g) | 3.5348 | 3.5348 | 3.556 | 3.556 | 3.5806 | 3.5875 | 3.5902 | 3.5806 | 3.6113 | 3.5851 | 3.6484 | 3.5875 | | 3.5902 | | 3.6113 | | 3.624 | | 3.6484 |
The Q test was performed for each of the data sets. Other statistical parameters were also calculated.
When one or more of the measured values obtained within a set is/are different from the rest, the Q test
G.E. Institute of Biology, College of Science
University of the Philippines, Diliman, Quezon City, Philippines
Date Submitted: April 23, 2013
ABSTRACT
Statistics is a mathematical science dealing with the collection, organization, analysis, interpretation, and presentation of data. It provides a more accurate way of expressing data rather than mere observation. This experiment used the different statistical concepts such as the Q test, mean, standard deviation, relative standard deviation, range, relative range, and confidence limits or confidence intervals. The results generated from these tests are used as a basis to check whether the values obtained from weighing 10, 25 centavo coins using an analytical balance and which were grouped into two data sets, are acceptable or not. It can be seen that when the statistical concepts were applied to data set 1 and data set 2, the resulting values obtained do not greatly vary. However, it can’t be proven that the results do not differ significantly since there was no test performed to check this.
RESULTS AND DISCUSSION
Different weights were obtained from the 10- 25 centavo coins using the analytical balance. Each weight is considered as a single sample. The samples were grouped into two data sets. The first dataset contains six samples while the second data set contains 10 samples. The table below shows the two data sets with their corresponding samples.
Table 1. Weight of samples grouped into two sets DATA SET 1 (g) | DATA SET 2 (g) | 3.5348 | 3.5348 | 3.556 | 3.556 | 3.5806 | 3.5875 | 3.5902 | 3.5806 | 3.6113 | 3.5851 | 3.6484 | 3.5875 | | 3.5902 | | 3.6113 | | 3.624 | | 3.6484 |
The Q test was performed for each of the data sets. Other statistical parameters were also calculated.
When one or more of the measured values obtained within a set is/are different from the rest, the Q test