The mercury (Hg) in samples of three fish taken from Iligan Bay was determined by a method based upon the absorption of radiation by gaseous elemental mercury. Calculate the pooled estimate of the standard deviation for the method, based from the following columns of data: Specimen No. of Samples Measured Hg content in ppm Hg Mean, ppm Hg Sum of the Squares of Deviation from the Mean 1 3 0.57, 0.58, 0.64, 0.49 0.570 0.0114 2 4 3.13, 3.35 3.240 0.0242 3 2 1.11, 1.15, 1.22, 1.160 0.0062 Answer should be in the same form as Hg content, that is only 2 decimal places. No unit is needed
Inverse Normal Distribution
The method used for finding the corresponding z-critical value in a normal distribution using the known probability is said to be an inverse normal distribution. The inverse normal distribution is a continuous probability distribution with a family of two parameters.
Mean, Median, Mode
It is a descriptive summary of a data set. It can be defined by using some of the measures. The central tendencies do not provide information regarding individual data from the dataset. However, they give a summary of the data set. The central tendency or measure of central tendency is a central or typical value for a probability distribution.
Z-Scores
A z-score is a unit of measurement used in statistics to describe the position of a raw score in terms of its distance from the mean, measured with reference to standard deviation from the mean. Z-scores are useful in statistics because they allow comparison between two scores that belong to different normal distributions.
The mercury (Hg) in samples of three fish taken from Iligan Bay was determined by a method based upon the absorption of radiation by gaseous elemental mercury. Calculate the pooled estimate of the standard deviation for the method, based from the following columns of data:
Specimen |
No. of Samples Measured |
Hg content in ppm Hg |
Mean, ppm Hg |
Sum of the Squares of Deviation from the Mean |
1 |
3 |
0.57, 0.58, 0.64, 0.49 |
0.570 |
0.0114 |
2 |
4 |
3.13, 3.35 |
3.240 |
0.0242 |
3 |
2 |
1.11, 1.15, 1.22, |
1.160 |
0.0062 |
Answer should be in the same form as Hg content, that is only 2 decimal places. No unit is needed
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