4. 300 students, each from School A and School B, participated in an IQ quiz. The maximum marks for the quiz is 100. The cumulative frequency curves below show the distribution of the marks scored by the students from each of the two schools. Cumulative Frequency Curve for the IQ Quiz Marks of Students 300 250 School B 200 School A 150 100 50 10 20 30 40 50 60 70 80 90 100 IQ Quiz Marks (a) For School A, estimate (i) the median, (i) the interquartile range. (b) For School B, estimate ) the median, Gi) the interquartile range. (c) State, with a reason, if School A or School B performed better overall. (d) In which school were the quiz marks less spread out? Justify your answer. Cumulative Frequency

MATLAB: An Introduction with Applications
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4. 300 students, each from School A and School B, participated in an IQ quiz. The maximum
marks for the quiz is 100. The cumulative frequency curves below show the distribution of
the marks scored by the students from each of the two schools.
Cumulative Frequency Curve
for the IQ Quiz Marks of Students
300
250
School B
200
School A
150
100
50
20
30
40
50
60
70
80
90
100
IQ Quiz Marks
(a) For School A, estimate
(i) the median,
(ii) the interquartile range.
(b) For School B, estimate
(i) the median,
(ii) the interquartile range.
(c) State, with a reason, if School A or School B performed better overall.
(d) In which school were the quiz marks less spread out? Justify your answer.
Cumulative Frequency
Transcribed Image Text:4. 300 students, each from School A and School B, participated in an IQ quiz. The maximum marks for the quiz is 100. The cumulative frequency curves below show the distribution of the marks scored by the students from each of the two schools. Cumulative Frequency Curve for the IQ Quiz Marks of Students 300 250 School B 200 School A 150 100 50 20 30 40 50 60 70 80 90 100 IQ Quiz Marks (a) For School A, estimate (i) the median, (ii) the interquartile range. (b) For School B, estimate (i) the median, (ii) the interquartile range. (c) State, with a reason, if School A or School B performed better overall. (d) In which school were the quiz marks less spread out? Justify your answer. Cumulative Frequency
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