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. [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. [2] iv. If the medical faculty has 584 students registered, calculate how many medical students would be part of the sample of 150. [2] 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 40-44 19 45-59 32 60-64 49 65-69 29 70-74 21 i. calculate the mean score of the students [2] ii. calculate the modal score [3] iii. calculate the median score [3] iv. Use your results above to comment on the shape of the distribution. Give a reason for your answer.

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section11.4: Collecting Data
Problem 6E
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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. [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. [2] iv. If the medical faculty has 584 students registered, calculate how many medical students would be part of the sample of 150. [2] 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

40-44 19

45-59 32

60-64 49

65-69 29

70-74 21

i. calculate the mean score of the students [2]

ii. calculate the modal score [3]

iii. calculate the median score [3]

iv. Use your results above to comment on the shape of the distribution. Give a reason for your answer. 

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