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Cambridge IGCSE Statistics practice

Paper 1 structured question: Crude and standardised rates

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Crude and standardised rates

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Paper 1Statistical Techniques6 marks

Two regions, X and Y, have different age distributions. The following table shows the standard population and the death rates per 1000 people for each age group in both regions.

Data Table

Death Rates and Standard Population

Death rates per 1000 and standard population for age groups:

Age GroupStandard PopulationRegion X Death RateRegion Y Death Rate
0-29400034
30-59350065
60+25001518
  1. a

    Calculate the expected number of deaths in Region X using the standard population.

    Aim for approximately 3 distinct marking points.

    [3]
  2. b

    Calculate the standardised death rate per 1000 for Region Y using the standard population.

    Aim for approximately 3 distinct marking points.

    [3]

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Paper 1 structured question: Crude and standardised rates

Paper 1Statistical Techniques6 marks

Data Table

Standard Population

The standard population is divided into three age groups with the following numbers:

Age GroupStandard Population
0-295000
30-593000
60+2000
  1. a

    Calculate the expected number of deaths in Region A if it had the standard population, given the death rates per 1000 people in Region A are: 0-29: 2, 30-59: 5, 60+: 20.

    Aim for approximately 3 distinct marking points.

    [3]
  2. b

    Calculate the standardised death rate per 1000 for Region A using the standard population.

    Aim for approximately 3 distinct marking points.

    [3]