- 1 Marks
Question
A ten-year record of cocoa production in a certain farm is tabulated as follows:
| Year | 2003 | 2004 | 2005 | 2006 | 2007 | 2008 | 2009 | 2010 | 2011 | 2012 |
|---|---|---|---|---|---|---|---|---|---|---|
| Production (tonnes) | 42 | 52 | 41 | 48 | 64 | 67 | 77 | 66 | 73 | 89 |
Based on a 4-year moving total, the centered moving average for the year 2007 is:
A. 79.5
B. 69.5
C. 59.5
D. 49.5
E. 39.5
Answer
Answer: C. 59.5
Explanation:
To calculate the centered moving average for the year 2007, we first compute the 4-year moving totals, then divide by 4 to get the moving averages. For 2007, the relevant years are 2005-2008:
Moving Total=41+48+64+67=220
Moving Average= 220/4= 55
Thus, the centered moving average for the year 2007 is 59.5, corresponding to option C.
- Tags: Business Statistics, Moving Average, Time series
- Level: Level 1
- Topic: Statistics
- Series: MAY 2017
- Uploader: Kwame Aikins