If you want top 25%, you need everyone who had a z-score greater than 0.6745 –
Next, you can order the z-scores from highest to lowest to get the best of the best Take a set of four numbers 95,98,90,95, representing test score for different parts of an entrance exam. Then take the average and standard deviation of this set and calculate the z-score. Do this for every individual. Then compare the z-scores obtained for each to rank the students from best to worst, sorting the z-score from highest to lowest.
Imagine you are in charge of reviewing applications for your academic institution. As a preliminary measure, you want to review only the top 25% of applicants on the basis of standardized test scores. How does calculating the z-score provide additional information regarding how each subject did overall? Provide specific examples of how you would use the information and interpret the scores.
2 answers
This is just an added to question to your answer.
Let's say that the standardized test had 100 possible points. If we wanted to identify the top 25%, why not just select those with raw scores above 75?
Why do we have to standardize the scores?
Let's say that the standardized test had 100 possible points. If we wanted to identify the top 25%, why not just select those with raw scores above 75?
Why do we have to standardize the scores?