The ages of the patients of a pediatrician was surveyed was summarized and displayed in the box-and whisker diagram shown below in Exhibit 1. Exhibit 1 35 40 45 50 55 60 65 Age of Patient Jse the box-and-whisker diagram to: (i) Determine the minimum and the maximum age of the patients surveyed? (ii) Calculate the quartile deviation of the ages of the patients surveyed. (iii) Comment on the skewness of this distribution. 30 25
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.
(i)
From the boxplot, the minimum age of the patients is 30 and the maximum age of the patients is 55.
(ii)
From the boxplot, the Q1 is 35 and the Q3 is 50.
The quartile deviation is,
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