Roman, a health data officer, was tasked to create a report describing the height of all the children ages 12-15 years in a small town in Rome. He measured the height of all the 37 children (ages 12-15 years) in that small town. Describe the height using the following:
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.
Roman, a health data officer, was tasked to create a report describing the height of all the children ages 12-15 years in a small town in Rome. He measured the height of all the 37 children (ages 12-15 years) in that small town.
Describe the height using the following:
All Children (12-15 years) |
Male Children (12-15 years) |
Female Children (12-15 years) |
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Mean |
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Median |
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Minimum |
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Maximum |
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Variance |
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Standard Deviation |
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Coefficient of Variation (%) |
<2 decimal places> |
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25th Percentile |
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50th Percentile |
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75th Percentile |
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Number of Outliers: |
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Upper Outliers |
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Lower Outliers |
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