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Cambridge IGCSE Statistics practice

Paper 1 structured question: Bivariate distributions

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Bivariate distributions

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Paper 1Statistical Techniques3 marks

A scatter diagram shows the relationship between daily exercise time (minutes) and calories burned for 6 individuals. The data pairs are: (10, 80), (20, 100), (30, 120), (40, 140), (50, 160), (60, 180).

Data Table

Exercise Time and Calories Burned

Data pairs showing exercise time and calories burned for 6 individuals.

Exercise Time (minutes)Calories Burned
1080
20100
30120
40140
50160
60180
  1. a

    Sketch Draw a scatter diagram for the data and draw a line of best fit using visual estimation.

    Aim for approximately 3 distinct marking points.

    [3]

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Paper 1 structured question: Bivariate distributions

Paper 1Statistical Techniques5 marks

Data Table

Hours Studied and Marks Obtained

Data pairs showing hours studied and marks obtained by 8 students.

Hours Studied (x)Marks Obtained (y)
250
355
460
565
670
775
880
985
  1. a

    Calculate Use the method of semi-averages to find the equation of the line of best fit in the form y = mx + c.

    Aim for approximately 5 distinct marking points.

    [5]