A statistics instructor gave a final exam to his class. He recorded how many minutes it took each of his 50 students to complete the exam: 16, 29, 35, 35, 42, 48, 48, 52, 61, 65, 67, 69, 70, 72, 73, 73, 73, 74, 75, 76, 77, 77, 78, 78, 79, 87, 88, 88, 89, 93, 93, 94, 96, 97, 97, 98, 98, 100, 101, 102, 103, 104, 105, 106, 110, 111, 111, 113, 117, 134 Find the population mean of the data: u = 81.54 min Find the population standard deviation of the data: O = 24.65620408741 V min Find any outliers in the data. If there are multiple outliers, separate them with a comma. If the data has no outliers, select "No Outliers." O Outliers: 16,117,134 O No Outliers
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.
N=population size=50. The time taken by the student to complete the exam are given.
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