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Scatter diagrams: IGCSE Mathematics questions with answers Free Scatter diagrams questions for IGCSE Mathematics (0580), part of Statistics. Each question has the answer and the marking points an examiner would look for.
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Scatter diagrams practice questions Question 1 Structured · 4 marks
The scatter diagram shows value ($1000) against age of car (years) for 10 cases.
0 1 2 3 4 5 6 7 8 9 10 5 10 15 20 25 Age of car (years) Value ($1000) Fig. 1.1 (a) What type of correlation is shown?
[1] (b) Draw a line of best fit on the diagram.
[1] (c) Use your line of best fit to estimate the value ($1000) when age of car is 5.5.
[1] (d) Explain why it may not be reliable to use your line to estimate the value when x = 20.
[1] Show answers and mark scheme Part Answer and marking points Marks (a) NegativeNegative B1
1 (b) Ruled line through the trend of the pointsRuled line of best fit within the shaded tolerance B1
1 (c) 12 (accept 10.7 to 13.2)Value from their line, in range B1
1 (d) It is outside the range of the data (extrapolation)Outside the range of the data B1
1
Question 2 Structured · 4 marks
The table shows the marks of 8 students in a Physics test (x) and a Maths test (y).
Physics (x) 30 74 71 70 59 57 78 23 Maths (y) 26 57 54 50 43 43 63 30
Table 2.1
(a) Plot a scatter diagram and describe the correlation.
[2] (b) Draw a line of best fit and use it to estimate the Maths mark of a student who scored 60 in Physics.
[2] Show answers and mark scheme Part Answer and marking points Marks (a) positive correlationpoints plotted B1 B1
2 (b) about 46ruled line of best fit B1 B1
2
Question 3 Structured · 4 marks
The scatter diagram shows value ($1000) against age of car (years) for 10 cases.
0 1 2 3 4 5 6 7 8 9 10 5 10 15 20 25 Age of car (years) Value ($1000) Fig. 3.1 (a) What type of correlation is shown?
[1] (b) Draw a line of best fit on the diagram.
[1] (c) Use your line of best fit to estimate the value ($1000) when age of car is 4.
[1] (d) Explain why it may not be reliable to use your line to estimate the value when x = 20.
[1] Show answers and mark scheme Part Answer and marking points Marks (a) NegativeNegative B1
1 (b) Ruled line through the trend of the pointsRuled line of best fit within the shaded tolerance B1
1 (c) 14.3 (accept 13 to 15.5)Value from their line, in range B1
1 (d) It is outside the range of the data (extrapolation)Outside the range of the data B1
1
Question 4 Structured · 4 marks
The scatter diagram shows number of ice creams sold against temperature (°c) for 10 cases.
10 15 20 25 30 35 0 20 40 60 80 100 120 140 160 180 200 Temperature (°C) Number of ice creams sold Fig. 4.1 (a) What type of correlation is shown?
[1] (b) Draw a line of best fit on the diagram.
[1] (c) Use your line of best fit to estimate the number of ice creams sold when temperature is 20.
[1] (d) Explain why it may not be reliable to use your line to estimate the value when x = 70.
[1] Show answers and mark scheme Part Answer and marking points Marks (a) PositivePositive B1
1 (b) Ruled line through the trend of the pointsRuled line of best fit within the shaded tolerance B1
1 (c) 72 (accept 62 to 82)Value from their line, in range B1
1 (d) It is outside the range of the data (extrapolation)Outside the range of the data B1
1
Question 5 Structured · 4 marks
The scatter diagram shows test mark against hours of revision for 10 cases.
0 1 2 3 4 5 6 7 8 9 10 10 20 30 40 50 60 70 80 90 100 Hours of revision Test mark Fig. 5.1 (a) What type of correlation is shown?
[1] (b) Draw a line of best fit on the diagram.
[1] (c) Use your line of best fit to estimate the test mark when hours of revision is 4.5.
[1] (d) Explain why it may not be reliable to use your line to estimate the value when x = 20.
[1] Show answers and mark scheme Part Answer and marking points Marks (a) PositivePositive B1
1 (b) Ruled line through the trend of the pointsRuled line of best fit within the shaded tolerance B1
1 (c) 53.6 (accept 48.6 to 58.6)Value from their line, in range B1
1 (d) It is outside the range of the data (extrapolation)Outside the range of the data B1
1
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