Theory question 101
Tools of Economic AnalysisSection A (answer one question only from this section)
The raw scores of 20 students of Utopia High School who took part in an examination in Economics are given below. The pass mark is 40%.
38, 28, 70, 43
39, 20, 64, 66
12, 46, 52, 53
20, 34, 48, 69
18, 20, 64, 34
(a) What is the mean score of the students' marks? (b) How many students passed the examination? (c) What percentage of the students failed the examination? (d) What is the range of the scores? (e) How many students scored below the mean score?
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(a) Sum of scores = 838; mean = 838 ÷ 20 = 41.9
(b) Scores of 40 and above: 43, 46, 48, 52, 53, 64, 64, 66, 69, 70 = 10 students passed
(c) 10 failed out of 20: 10/20 × 100 = 50%
(d) Range = highest − lowest = 70 − 12 = 58
(e) Below 41.9: 12, 18, 20, 20, 20, 28, 34, 34, 38, 39 = 10 students
Arrange the scores in order first; it makes every part easier.