2. Suppose the professor wants the scores to be curved in a way that results in the following: Top 10% of scores receive an ABottom 10% of scores receive an FScores between the 70th and 90th percentile receive a B Scores between the 30th and 70th percentile receive a C Scores between the 10th and 30th percentile receive a D Find the range of scores that would qualify for each grade under this plan.(Assume all scores are normally distributed with a mean of 60.53 and standard deviation of 10.96.) Exams scores Letter Grade A B C D F
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.
2. Suppose the professor wants the scores to be curved in a way that results in the following:
Top 10% of scores receive an A
Bottom 10% of scores receive an F
Scores between the 70th and 90th percentile receive a B
Scores between the 30th and 70th percentile receive a C
Scores between the 10th and 30th percentile receive a D
Find the
(Assume all scores are
| Exams scores | Letter Grade |
| A | |
| B | |
| C | |
| D | |
| F |
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