Below are some descriptive statistics output by Minitab regarding the distribution of ages among passengers on the Titanic. Use this information to answer each part below. Variable N Minimum Median Q3 Range IQR _______________________________________________________________ Titanic Age 1046 .1667 28.00 39.00 79.8333 18.00 (a) What is the five-number summary of this variable? (b) Show mathematically that there will be at least one outlier in this variable.
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.
Below are some
Variable N Minimum Median Q3
_______________________________________________________________
Titanic Age 1046 .1667 28.00 39.00 79.8333 18.00
(a) What is the five-number summary of this variable?
(b) Show mathematically that there will be at least one outlier in this variable.
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