Interpret and compare the performances of students in a test of basic skills.
Question 1: A test has a mean of 30 and a standard deviation of five.
Jackie has scored in the 57th percentile.
Ethan has a T score of 70.
Lan has obtained a z score of –0.2.
Salvatore has received a raw score of 27.
On the basis of the information provided, answer the following questions:
Who has scored the highest?
Who has scored the lowest?
The data was collected from a hundred individuals classified on the basis of class—upper, middle, or lower. This classification was done on the basis of the total scores using Kelly’s 27% rule. Correct options have been marked with an asterisk for each question.
On the basis of the data provided, answer the following question:
• Are there any faulty distractors? Why do you believe the distractors are working (or not working) properly?
Each question has five options. The table provides the number of individuals choosing each option, the p-value, and the D-index. The correct answer for each question item is option A.
On the basis of the data provided, answer the following questions:
Which items should be removed or revised and why?
Which distractors, in which items, are working well, and why?
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