Assignment Details
The data in the file shows the test results for a group of 15 students. The students were set 8 questions, each of which were equally weighted. Depending on the accuracy of the students’ answers they were awarded either 0, 1, 2 or 3 marks for each question. The test was set for formative purposes and was intended to assess current student progress on a course.
The pass mark for the test was 40%.
• Task 1
Calculate the total score for each student and convert this to a percentage. Present these results using an appropriate chart or graph.
• Task 2
Do you believe that the test results are normally distributed? What evidence supports your conclusion?
• Task 3
The tutor for the course is planning additional revision sessions to support students. It is decided that these additional sessions will be compulsory for all students whose mark fell below one standard deviation from the mean. Calculate the standard deviation for the set of marks (treating this set of data as the total population) and use this to identify which students are required to attend the compulsory revision sessions.
• Task 4
Following the test, students complained that Question 3 was too difficult. After investigation it turned out that the question contained errors which made it impossible to answer. A decision is taken to ignore the marks for this question and to recalculate the test scores based upon the 7 remaining questions. It is also the case that three separate groups of students took the test at the same time.
Recalculate the percentage scores for each student based upon the remaining seven valid questions and present these new results using an appropriate chart or graph. Finally, recalculate the standard deviation based upon these new results – this time treating the data as a sample taken from the all the groups who took the test.
