In a course where the mean final exam grade is 68 with a standard deviation of 6.5, the grading scheme is as follows: The top 20% get As, next 25% get Bs, next 25% get Cs, next 10% get Ds, and the rest get Fs. Assume that the scores are normally distributed. Of those students who get Bs, what percentage are in the lower half of the B range?
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.
In a course where the mean final exam grade is 68 with a standard deviation of 6.5, the grading scheme is as follows:
The top 20% get As, next 25% get Bs, next 25% get Cs, next 10% get Ds, and the rest get Fs.
Assume that the scores are
Of those students who get Bs, what percentage are in the lower half of the B range?
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