Assume that the class has 60 students and that the examination period is 90 minutes in length. How many students do you expect will be unable to complete the exam in the alloted time?
To determine how many students are expected to be unable to complete the exam within the allotted time, we need to calculate the average time each student takes to complete the exam.
First, let's determine the total amount of time available for the entire class:
Total time available = 90 minutes
Next, we divide the total time available by the number of students:
Time available per student = Total time available / Number of students
Time available per student = 90 minutes / 60 students
Time available per student = 1.5 minutes per student
Now, we need to find out how many students take more than 1.5 minutes to complete the exam. Let's assume that the distribution of time taken to complete the exam follows a normal distribution. Without further information about the distribution, we can use an estimation based on the average completion time.
We can use statistical tables or software to find the proportion of the population that takes more time than 1.5 minutes (assuming normal distribution) and multiply it by the number of students:
Number of students unable to complete the exam = Proportion of students taking more than 1.5 minutes * Number of students
Without specific information about the distribution of completion times or access to statistical data, we cannot provide an exact number for the students who may be unable to complete the exam. However, using the estimation methods provided, you can calculate an approximate value based on assumptions and data available to you.