Exam-style questions 9 P1: The grouped frequency table below shows the results of a statistics test taken by 70 students. Test result x% Frequency 0≤x<20 8 20 ≤ x < 40 17 40 ≤X < 60 25 60 ≤ x < 80 13 80

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 27PFA
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Exam-style questions
9 P1:The grouped frequency table below
shows the results of a statistics test
taken by 70 students.
Test result x% Frequency
Osx< 20
8.
20 sx< 40
17
40 sx< 60
25
60 sx< 80
13
80 sx< 100
7
a State the modal class for the data.
(1 mark)
b Find an estimate for the mean.
(3 marks)
C Find an estimate for the standard
deviation.
(2 marks)
d A similar class took the same test.
Their mean mark was 45% and the
standard deviation was 19.5.
Compare the marks of the two
classes, stating your conclusions
(2 marks)
Transcribed Image Text:Exam-style questions 9 P1:The grouped frequency table below shows the results of a statistics test taken by 70 students. Test result x% Frequency Osx< 20 8. 20 sx< 40 17 40 sx< 60 25 60 sx< 80 13 80 sx< 100 7 a State the modal class for the data. (1 mark) b Find an estimate for the mean. (3 marks) C Find an estimate for the standard deviation. (2 marks) d A similar class took the same test. Their mean mark was 45% and the standard deviation was 19.5. Compare the marks of the two classes, stating your conclusions (2 marks)
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