For number 16- 20, refer to following problem. The time it tak es for Grade 11 students ina certain scho ol to complete a physi cal fitnesstestisnormally distributed with mean 15 mimutes anda standard deviati on of 4 minutes. 16. Whatisthe correspondingz-score of 12.5 mimutes? A. -0.63 B. -0.62 C. 0.62 D. 0.63 17. Whatisthe probability that a student completes the physical fitnesslessthan 14 mimites? A.40.52% B. 40.13% C. 39.74% D. 39.36% 18. Whatisthe longest time to complete the test of a student whose time belong to the middle 60% of all recorded times? A.11.64 min B. 16 min C. 17.53 min D. 18.36 min 19. Whatisthe fastest completionm time of the students who belongs to the longest 25% of all completiontimes? A.17.68 min B. 17.66 min C. 17.64 min D. 17.62 min 20. If the students who get the fastest 5% completion times will be exempted from the additional gym workout session, what isthe slowest time that a student can have to qualify for the exemption? A.840 min B. 8.42 min C. 8.44 min D. 846 min
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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