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.
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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Question

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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