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: Mean, Median and Mode Minimum and Maximum values Range Variance and Standard Deviation Coefficient of Variation 25th, 50th, and 75th Percentiles Interquartile Range Number of outliers
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:
- Mean,
Median andMode - Minimum and Maximum values
Range - Variance and Standard Deviation
- Coefficient of Variation
- 25th, 50th, and 75th Percentiles
Interquartile Range - Number of outliers
Step by step
Solved in 5 steps with 2 images
