A group of 60 students each sat an algebra test and a geometry test. Each test was marked out of 110 The cumulative frequency graph gives information about the marks gained by the 60 students in the algebra test. 60 Cumulative frequency 50 40 30 20 10 0 10 20 30 40 50 60 70 80 90 100 110 Algebra mark (a) Use the graph to find an estimate for the median mark in the algebra test. (b) Use the graph to find an estimate for the number of students who gained 58 marks or less in the algebra test. (1)
A group of 60 students each sat an algebra test and a geometry test. Each test was marked out of 110 The cumulative frequency graph gives information about the marks gained by the 60 students in the algebra test. 60 Cumulative frequency 50 40 30 20 10 0 10 20 30 40 50 60 70 80 90 100 110 Algebra mark (a) Use the graph to find an estimate for the median mark in the algebra test. (b) Use the graph to find an estimate for the number of students who gained 58 marks or less in the algebra test. (1)
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Transcribed Image Text:14 A group of 60 students each sat an algebra test and a geometry test.
Each test was marked out of 110
The cumulative frequency graph gives information about the marks gained by the
60 students in the algebra test.
60
Cumulative
frequency
50
40
30
20
10
0
0
10 20
30
40
50 60 70
Algebra mark
80 90 100 110
(a) Use the graph to find an estimate for the median mark in the algebra test.
(b) Use the graph to find an estimate for the number of students who gained 58 marks
or less in the algebra test.
(1)
(1)

Transcribed Image Text:(c) Use the graph to find an estimate for the interquartile range of the marks gained in
the algebra test.
The interquartile range of the marks gained in the geometry test is 9
Luis says
"The students' marks are more spread out in the algebra test than in the
geometry test."
(d) Is Luis correct?
Give a reason for your answer.
(2)
(1)
To be awarded a grade A in the algebra test, a student had to gain a mark greater than 64
Two students are to be selected at random from the 60 students in the group.
(e) Use the graph to find an estimate for the probability that both of these students were
awarded a grade A in the algebra test.
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