The blood lead concentrations, in micrograms per deciliter (µg/dL), of 20 children from two different neighborhoods were measured. The results are recorded in the table. Neighborhood 1 3.97 3.92 3.99 3.71 4.13 3.97 4.02 3.88 4.12 3.70 3.96 3.78 4.30 4.09 4.13 4.94 3.93 3.95 3.86 3.83 Neighborhood 2 4.32 4.23 3.78 4.10 4.35 4.21 4.36 4.21 4.02 4.05 4.29 4.12 4.59 4.12 4.02 3.85 3.97 4.28 4.39 4.14 Using the same scale, draw a box-and-whisker plot for each of the two data sets, placing the second plot below the first. Considering that high blood lead concentrations are harmful to humans, in which of the two neighborhoods would you prefer to live? neighborhood1 or neighborhood 2
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.
| Neighborhood 1 | 3.97 | 3.92 | 3.99 | 3.71 | 4.13 | 3.97 | 4.02 | 3.88 | 4.12 | 3.70 |
|---|---|---|---|---|---|---|---|---|---|---|
| 3.96 | 3.78 | 4.30 | 4.09 | 4.13 | 4.94 | 3.93 | 3.95 | 3.86 | 3.83 | |
| Neighborhood 2 | 4.32 | 4.23 | 3.78 | 4.10 | 4.35 | 4.21 | 4.36 | 4.21 | 4.02 | 4.05 |
| 4.29 | 4.12 | 4.59 | 4.12 | 4.02 | 3.85 | 3.97 | 4.28 | 4.39 | 4.14 |
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