The test scores of a physics class with 800 students are distributed normally with a mean of 75 and a SD of 7. (a) what percentage of the class has a test score between 68 and 82? (b) approximately, how many students have a test score between 61 and 89? (c) what is the probability that a student chosen at random has a test score between 54 and 75?
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.
The test scores of a physics class with 800 students are distributed normally with a mean of 75 and a SD of 7.
(a) what percentage of the class has a test score between 68 and 82?
(b) approximately, how many students have a test score between 61 and 89?
(c) what is the probability that a student chosen at random has a test score between 54 and 75?
(d) approximately, how many students have a test score greater than or equal to 96?
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Hello there, could you please find the percentage of the class has a test score between 68 and 82 using
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