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CMA Final · Strategic Cost Management · Business Forecasting Models - Time Series and Regression Analysis

A Pune firm uses a 3-period centred moving average to smooth quarterly sales (in units): Q1 120, Q2 150, Q3 135, Q4 165, Q5 180. What is the moving average value centred on Q4?

The centred 3-period moving average for Q4 is 160, found by averaging Q3, Q4 and Q5 sales: (135+165+180)/3. Using Q2 to Q4 would centre the figure on Q3 and give 150, which is the wrong period.

  1. A150
  2. B160Correct
  3. C165
  4. D140

Explanation

The 3-period average centred on Q4 uses Q3, Q4 and Q5: (135+165+180)/3 = 480/3 = 160. The value 150 is the average of Q2, Q3, Q4 (centred on Q3), which is the wrong window.

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