Question 41 of 41
Q.
The number of students studying in a college are shown in the following table. Find the trend by four yearly moving averages:
| Year | 2006 | 2007 | 2008 | 2009 | 2010 | 2011 | 2012 | 2013 | 2014 | 2015 |
|---|---|---|---|---|---|---|---|---|---|---|
| No. of Students | 332 | 317 | 357 | 392 | 402 | 405 | 410 | 427 | 405 | 438 |
Gujarat GsebGujarat Board (GSEB) HSC Commerce Board 2026Subjective· 5mImportance★★★★★
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Start your 14-day free trial to unlock the full solution →4-yearly moving totals give /4 then centre (2-item average). Trend: 358.25, 378, 395.63, 406.63, 411.38, 415.88 for 2008-2013.
Since the period () is even, we compute 4-yearly moving totals, then 4-yearly moving averages (total), and finally centre them by a 2-item moving average so the values align against the years.
| Year | Students | 4-yr moving total | 4-yr moving avg | Centred trend |
|---|---|---|---|---|
| 2006 | 332 | - | - | - |
| 2007 | 317 | - | - | - |
| 1398 | 349.50 | |||
| 2008 | 357 | 358.25 | ||
| 1468 | 367.00 | |||
| 2009 | 392 | 378.00 | ||
| 1556 | 389.00 | |||
| 2010 | 402 | 395.63 | ||
| 1609 | 402.25 | |||
| 2011 | 405 | 406.63 | ||
| 1644 | 411.00 | |||
| 2012 | 410 | 411.38 | ||
| 1647 | 411.75 | |||
| 2013 | 427 | 415.88 |
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