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Cambridge IGCSE Statistics practice

Paper 1 structured question: Time series

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Time series

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Paper 1Statistical Techniques6 marks

A company records monthly sales data for one year. The data shows regular increases and decreases each month due to seasonal effects.

Data Table

Monthly Sales Data (in units)

Sales data for 12 months

MonthSales
Jan120
Feb130
Mar150
Apr170
May200
Jun220
Jul210
Aug190
Sep160
Oct140
Nov130
Dec110
  1. a

    Calculate the 3-month moving average for April.

    Aim for approximately 2 distinct marking points.

    [2]
  2. b

    Determine the seasonal component for July using the moving average method.

    Aim for approximately 4 distinct marking points.

    [4]

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Paper 1 structured question: Time series

Paper 1Statistical Techniques5 marks

Diagram Description

Quarterly Sales Time Series Graph

The graph shows sales peaks in Q4 and dips in Q2 for both years.

  1. a

    Describe the seasonal variation shown in the graph.

    Aim for approximately 2 distinct marking points.

    [2]
  2. b

    Suggest how the retailer could use moving averages to find seasonal components.

    Aim for approximately 3 distinct marking points.

    [3]