The document contains 4 math problems involving box and whisker plots, cumulative frequency graphs, and calculating median, range, and interquartile range from data presented in graphs. Problem 1 asks to find the range of fish lengths from box plots and identify the best cumulative frequency graph to represent female fish lengths. Problem 2 involves calculating median and values a and b from information in a box plot. Problem 3 requires finding median and interquartile range from a cumulative frequency graph of heights and determining the value of a. Problem 4 asks to estimate median and interquartile range of basketball player heights from a cumulative frequency curve.

1. IB Questionbank Maths SL 1
1. A scientist has 100 female fish and 100 male fish. She measures their lengths to the nearest cm.
These are shown in the following box and whisker diagrams.
(a) Find the range of the lengths of all 200 fish.
(3)
(b) Four cumulative frequency graphs are shown below.
Which graph is the best representation of the lengths of the female fish?
(2)
(Total 5 marks)

2. IB Questionbank Maths SL 2
2. The following diagram is a box and whisker plot for a set of data.
The interquartile range is 20 and the range is 40.
(a) Write down the median value.
(1)
(b) Find the value of
(i) a;
(ii) b.
(4)
(Total 5 marks)

3. IB Questionbank Maths SL 3
3. The cumulative frequency graph below shows the heights of 120 girls in a school.
130
120
110
100
90
80
70
60
50
40
30
20
10
0
185180175170165160155150
Cumulativefrequency
Height in centimetres
(a) Using the graph
(i) write down the median;
(ii) find the interquartile range.
(b) Given that 60 of the girls are taller than a cm, find the value of a.
(Total 6 marks)

4. IB Questionbank Maths SL 4
4. The cumulative frequency curve below shows the heights of 120 basketball players in
centimetres.
120
110
100
90
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70
60
50
40
30
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10
0
160 165 170 175 180 185 190 195 200
Height in centimetres
Number of players
Use the curve to estimate
(a) the median height;
(b) the interquartile range.
Working:
Answers:
(a) …………………………………………..
(b) …………………………………………..
(Total 6 marks)