The ages of a team of female gymnasts are given in this data set: 18, 23, 14, 28, 21, 19, 15, 32, 17, 18, 20, 13, 21 Use CAS to determine the values of Q, and Q,. a Use these values to justify whether any outliers exist (show calculations) and list them clearly. b Draw a box plot to summarise the data, marking outliers if they exist. You may use your CAS calculator to help you with this. Make sure your boxplot has a clearly labelled number line, and all values are represented accurately.
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.
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