A total of 82 Grade 11 students of ABC Senior High School took the 60-item test. The result is normally distributed with the mean of 42 and standard deviation of 6. Construct a bell curve for display the data and answer the following questions. 1. If the passing score is 36, how many students passed the test? How many of them failed? 2. Only Sky and three of her classmates got the score of 48. How many students got a score higher than them? How many got a score lower than 48?
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.
A total of 82 Grade 11 students of ABC Senior High School took the 60-item test. The result is
1. If the passing score is 36, how many students passed the test? How many of them failed?
2. Only Sky and three of her classmates got the score of 48. How many students got a score higher than them? How many got a score lower than 48?
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