Calculus I scores at College A have mean 70.2 and standard deviation 15.3; Calculus I scores at College B have mean 75.4 and standard deviation 10.1. Scores at College A are approximately normal (scores at College B aren’t). What fraction of all students taking Calculus I at College A score an 80 or less? What fraction of all students taking Calculus I at College A score between an 80 and a 90? What’s the 80th percentile score in Calculus I at College A?
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.
Calculus I scores at College A have mean 70.2 and standard deviation 15.3;
Calculus I scores at College B have mean 75.4 and standard deviation 10.1.
Scores at College A are approximately normal (scores at College B aren’t).
What fraction of all students taking Calculus I at College A score an 80 or
less?
What fraction of all students taking Calculus I at College A score between
an 80 and a 90?
What’s the 80th percentile score in Calculus I at College A?
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