(a) The mean score of the students’ marks is:
X = (38 + 28 + 70 + 43 + 39 + 20 + 64 + 66 + 12 + 46 + 52 + 53 + 20 + 34 + 48 + 69 + 18 + 20 + 64 + 34) /20 = 41.9%.
(b) 10 of 20 students passed the examination, because their score is higher than 40%.
(c) The percentage of the students that failed the examination is: (20 - 10)/20×100% = 50%.
(d) What is the range of the scores is 70 - 12 = 58.
(e) 10 students scored below the mean score.
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