1. College X organised a mid-semester test in last September. The marks of 135 students were recorded in the following table. Marks Relative Frequency 8 0

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1. College X organised a mid-semester test in last September. The marks of 135 students were recorded in the
following table.
Marks
Relative Frequency
8.
0<xs 20
135
31
20 < x< 40
135
41
40 < x S 60
135
60 < x S 80
45
34
80 <xs 100
135
a) Find the upper quartile.
b) Calculate the median, mean and the standard deviation of the marks.
c) Hence, find the Pearson's coefficient of skewness and interpret your answer.
d) State with reason, which of the above measures of location better describes the distribution of the data.
e) From the analysis of students' marks, Mr Adam decided to do one-to-one consultation with his low-ability
students and give 5 questions per week as a revision to the rest of his students. Calculate the mark
required to join the consultation if 55% of his students were assigned to do the revision.
Transcribed Image Text:1. College X organised a mid-semester test in last September. The marks of 135 students were recorded in the following table. Marks Relative Frequency 8. 0<xs 20 135 31 20 < x< 40 135 41 40 < x S 60 135 60 < x S 80 45 34 80 <xs 100 135 a) Find the upper quartile. b) Calculate the median, mean and the standard deviation of the marks. c) Hence, find the Pearson's coefficient of skewness and interpret your answer. d) State with reason, which of the above measures of location better describes the distribution of the data. e) From the analysis of students' marks, Mr Adam decided to do one-to-one consultation with his low-ability students and give 5 questions per week as a revision to the rest of his students. Calculate the mark required to join the consultation if 55% of his students were assigned to do the revision.
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