Nation Athlete Result Korea Sang-Hwa Lee 38.249 Germany Jenny Wolf 38.307 China Beixing Wang 38.487 Netherlands Margot Boer Shuang Zhang Sayuri Yoshii 38.511 China 38.530 Japan 38.566 Russian Federation Yulia Nemaya 38.594 China Peiyu Jin 38.686 United States Heather Richardson 38.698 Germany Monique Angermuller 38.761 China Aihua Xing 38.792
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.
Winter Olympics 2010 speed skating The top 36
women’s 500-m speed skating times are listed in the
table.
a) The mean finishing time was 40.44 seconds, with
a standard deviation of 10.03 seconds. If a Normal
model were appropriate, what percent of the times
should be within 2 seconds of the mean?
b) What percent of the times actually fall within this
interval?
c) Explain the discrepancy between parts a and b.
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