The University of the East Europe is interested in the overall performance of its students in the academic year 2020/2021. There were 1460 students registered for this academic year. The University decides to select a sample of 150 students from each of the 5 faculties- Science, Medicine, Law, Social Science and Humanities in proportion to the number of students in each faculty.
a) The University of the East Europe is interested in the overall performance of its students
in the academic year 2020/2021. There were 1460 students registered for this academic
year. The University decides to select a sample of 150 students from each of the 5
faculties- Science, Medicine, Law, Social Science and Humanities in proportion to the
number of students in each faculty.
i. Identify the population of interest for this scenario.
ii. Identify the sampling technique used by the researcher.
iii. State one advantage and one disadvantage of the sampling technique described in the
given scenario.
iv. If the medical faculty has 584 students registered, calculate how many medical
students would be part of the sample of 150.
b) The Table below shows the average score of the150 students sampled from the
University of the East Europe in the academic year 2020/2021.
Score (out of 100) Number of students
40-49 19
50-59 32
60-69 49
70-79 29
80-89 21
i. calculate the mean score of the students
ii. identify the modal score
iii. identify the median score
iv. Use your results above to comment on the shape of the distribution. Give a reason for your
answer.
c)The table below shows how students performed based in their gender. Use the table to answer
the following questions
Gender
Grade Males Females Total
A 5 8 13
B 13 36 49
C 29 32 61
D 8 12 20
F 4 3 7
Total 59 91 150
A student is randomly selected.
i. What is the probability that the student got an A grade or is Female?
i. Given that the student is Male, what is the probability that the student for a D.
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