How do you graph grade curves in StatCruch (finding two bounds within grades; ex. D, C, B)??? In other words, finding two cut off scores? Reference: The mean and standard deviation of last semester’s Test 1 scores are 76.5 and 14.8 respectively. Imagine we want to define letter grades using a Normal distribution (assuming this is appropriate). One possible grade distribution could be that the lowest 10% of students earn F’s, the next 15% earn D’s, the next 50% earn C’s, the next 15% earn B’s, and the rest of the students earn A’s. Using the Normal distribution, calculate the Test 1 scores that would separate these letter grades. Your answer needs to include five Normal graphs from StatCrunch where the shaded area on each graph shows the range of scores needed to earn the specific letter grade. Hint: The graphs for A and F will only have one value as a cutoff score whereas the graphs for a B, C, and D will have two cutoff scores. Which students are happy about their curved grades? Why? Which ones are not happy about their curved grades? Why?
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.
How do you graph grade curves in StatCruch (finding two bounds within grades; ex. D, C, B)??? In other words, finding two cut off scores?
Reference:
The mean and standard deviation of last semester’s Test 1 scores are 76.5 and 14.8 respectively. Imagine we want to define letter grades using a
students earn F’s, the next 15% earn D’s, the next 50% earn C’s, the next 15% earn B’s, and the rest of the students earn A’s. Using the Normal distribution, calculate the Test 1 scores that would separate these letter grades. Your answer needs to include five Normal graphs from StatCrunch where the shaded area on each graph shows the
graphs for A and F will only have one value as a cutoff score whereas the graphs for a B, C, and D will have two cutoff scores. Which students are happy about their curved grades? Why? Which ones are not happy about their curved grades? Why?
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