Compute the seasonal indices by 4-year moving averages from the given data of production…

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Applied Mathematics · 2025 · 5 marks

CBSE 2025 · Central · Set 4 · Q34

Compute the seasonal indices by $\displaystyle 4$-year moving averages from the given data of production of paper (in thousand tons) :

Year :	$\displaystyle 2001$	$\displaystyle 2002$	$\displaystyle 2003$	$\displaystyle 2004$	$\displaystyle 2005$	$\displaystyle 2006$	$\displaystyle 2007$	$\displaystyle 2008$	$\displaystyle 2009$	$\displaystyle 2010$
Index number :	$\displaystyle 2450$	$\displaystyle 1470$	$\displaystyle 2150$	$\displaystyle 1800$	$\displaystyle 1210$	$\displaystyle 1950$	$\displaystyle 2300$	$\displaystyle 2500$	$\displaystyle 2480$	$\displaystyle 2680$

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Year :	$\displaystyle 2011$	$\displaystyle 2012$	$\displaystyle 2013$	$\displaystyle 2014$	$\displaystyle 2015$	$\displaystyle 2016$
Production (in tons) :	$\displaystyle 210$	$\displaystyle 225$	$\displaystyle 275$	$\displaystyle 220$	$\displaystyle 240$	$\displaystyle 235$

(a) Compute the seasonal indices by 4-year moving averages from the given data of production of paper (in thousand tons):