Question

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. [1] ii. Identify the sampling technique used by the researcher. [1] iii. State one advantage and one disadvantage of the sampling technique described in the given scenario. v. 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 the 150 students sampled from the University of the East Europe in the academic year 2020/2021. i. calculate the mean score of the students ii. calculate the modal score [3] iii. calculate the median score iv. Use your results above to comment on the shape of the distribution. Give a reason for your answer.

Answer 1

The population of interest is the 1460 students enrolled at the university. Stratified sampling is used, which is accurate but complex. To find medical students in the sample, multiply the proportion of medical students by 150, resulting in approximately 60 students.

Step-by-step explanation:

In the academic year 2020/2021, the population of interest is the 1460 students registered at the university. The sampling technique used is stratified sampling, where 150 students are selected from each of the 5 faculties proportional to the number of students in each faculty.

An advantage of this technique is that it ensures each faculty is appropriately represented in the sample, which can provide a more accurate representation of the entire population. A disadvantage is that it can be more complex and time-consuming than simple random sampling.

For the medical faculty with 584 students, to find out how many medical students would be in the sample of 150, we would calculate the proportion of medical students to the total student population and apply that proportion to the sample size. The calculation would be:

(584 students / 1460 total students) × 150 sample size = 60 medical students (approximately)

The request for calculating the mean score, modal score, and median score cannot be completed as data on students' scores was not provided. Similarly, any comments on the shape of the distribution would be purely speculative without empirical data.