2. The following frequency distribution depicts the marks received by 50 students in the Statistics examination at one local university. Marks 60 – 64 Frequency 2 65 – 69 1 70 – 74 75 - 79 12 80 - 84 18 85 - 89 90 – 94 95 - 99 1 a) Calculate the mean and standard deviation of the mark of the students.

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2. The following frequency distribution depicts the marks received by 50 students
in the Statistics examination at one local university.
Marks
Frequency
60 - 64
2
65 - 69
1
70 - 74
75 - 79
12
80 - 84
18
85 - 89
90 - 94
5
95 - 99
1
a) Calculate the mean and standard deviation of the mark of the students.
b) The students with mark exceed 87% will be given a prize. Examine the
percentage of the students who will be given the prize.
c) Examine an interval of the marks of at least 75% of the students at that local
university by using Chebyshev's Theorem.
Transcribed Image Text:2. The following frequency distribution depicts the marks received by 50 students in the Statistics examination at one local university. Marks Frequency 60 - 64 2 65 - 69 1 70 - 74 75 - 79 12 80 - 84 18 85 - 89 90 - 94 5 95 - 99 1 a) Calculate the mean and standard deviation of the mark of the students. b) The students with mark exceed 87% will be given a prize. Examine the percentage of the students who will be given the prize. c) Examine an interval of the marks of at least 75% of the students at that local university by using Chebyshev's Theorem.
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