Time Series: Trend & Moving Averages (Grade 12)
Free printable Grade 12 General Mathematics worksheet: describe the trend in a time series and smooth it with simple moving averages (ACMGM088, ACMGM089).
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Grade 12 · Math worksheet
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Math
Time Series: Trend & Moving-Average Smoothing (Year 11-12 General Mathematics)
Read the time series plot and table, then calculate the requested simple moving averages (each is the mean of its window) and describe the trend. All moving averages are computed from the data.
- 1.Time series (Daily website sign-ups, sign-ups): Mon: 27, Tue: 36, Wed: 42, Thu: 44, Fri: 53, Sat: 59, Sun: 63. Calculate the 3-point (simple) moving average centred at Tue. Give your answer to 2 decimal places.
- 2.Time series (Daily website sign-ups, sign-ups): Mon: 27, Tue: 36, Wed: 42, Thu: 44, Fri: 53, Sat: 59, Sun: 63. Calculate the 3-point (simple) moving average centred at Wed. Give your answer to 2 decimal places.
- 3.Time series (Daily website sign-ups, sign-ups): Mon: 27, Tue: 36, Wed: 42, Thu: 44, Fri: 53, Sat: 59, Sun: 63. Calculate the 3-point (simple) moving average centred at Thu. Give your answer to 2 decimal places.
- 4.Time series (Daily website sign-ups, sign-ups): Mon: 27, Tue: 36, Wed: 42, Thu: 44, Fri: 53, Sat: 59, Sun: 63. Calculate the 3-point (simple) moving average centred at Fri. Give your answer to 2 decimal places.
- 5.Time series (Daily website sign-ups, sign-ups): Mon: 27, Tue: 36, Wed: 42, Thu: 44, Fri: 53, Sat: 59, Sun: 63. Calculate the 3-point (simple) moving average centred at Sat. Give your answer to 2 decimal places.
- 6.For the same series, calculate the 5-point (simple) moving average centred at Wed. Give your answer to 2 decimal places.
- 7.For the same series, calculate the 5-point (simple) moving average centred at Thu. Give your answer to 2 decimal places.
- 8.Describe the overall trend shown by this time series, and state one reason a 3-point moving average is used to smooth it.
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