1.
Obtain the trend values using 3-yearly moving averages for the data.
A company in foods industry has data on the number of boxes of cereal it has sold in years 1991
to 1998.
(4)
Year
1991 1992 1993 1994
No. of boxes
1
0
3
8
(in ten thousands)
Year
1995 1996 1997 1998
No. of boxes
10
4
5
8
(in ten thousands)
Answers
Answer:
Year: 1990 1991 1992 1993 1994 1995 1996 1997 1998 1999 2000
Values: 242 250 252 249 253 255 251 257 260 265 262
To find:
3-yearly average
Explanation:
\displaystyle Average = \frac{Sum \ of\ terms }{\ Total \ no \ of \ terms}Average=
Total no of terms
Sum of terms
1) Average of years 1990, 1991, 1992:
\begin{gathered}\displaystyle { a_1 = \frac{242 +250 + 252}{3} }\\\\\displaystyle a_1 = 248\end{gathered}
a
1
=
3
242+250+252
a
1
=248
2) Average of years 1993, 1994,1995 :
\begin{gathered}\displaystyle a_2 = \frac{249+253+255}{3} \\\\\displaystyle a_2 = 252.33\end{gathered}
a
2
=
3
249+253+255
a
2
=252.33
3) Average of years 1996, 1997, 1998:
\begin{gathered}\displaystyle a_3 = \frac{251+257+260}{3}\\\\ \\\displaystyle a_3 = 256\end{gathered}
a
3
=
3
251+257+260
a
3
=256
4) Average of years 1999, 2000:
\begin{gathered}\displaystyle a_4 = \frac{265+262}{2} \\\\\displaystyle a_4 = 263.5\end{gathered}
a
4
=
2
265+262
a
4
=263.5
The above data shows that the average data is increased by 3-yearly.
Answer:
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Step-by-step explanation:
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