Below are seasonal sandwich sales: Seasonal Sandwich Sales (1000s) Year Fall Win
ID: 425018 • Letter: B
Question
Below are seasonal sandwich sales:
Seasonal Sandwich Sales (1000s)
Year
Fall
Winter
Spring
Summer
2011
42.7
36.9
51.3
62.9
2012
44.3
42.7
55.6
64.8
2013
45.7
34.8
49.3
71.2
2014
40.6
41.5
47.3
74.5
The seasonal indices for Fall, Winter, Spring and Summer are 0.86, 0.77, 1.01 and 1.36 respectively.
The deseasonalized data for the year 2014 are:
a. 49.65 47.7 50.8 46.36
b. 53.14 44.98 48.82 52.48
c. 47.21 53.65 46.84 54.91
d. 51.52 55.2 55.06 47.76
Seasonal Sandwich Sales (1000s)
Year
Fall
Winter
Spring
Summer
2011
42.7
36.9
51.3
62.9
2012
44.3
42.7
55.6
64.8
2013
45.7
34.8
49.3
71.2
2014
40.6
41.5
47.3
74.5
Explanation / Answer
The seasonal index for Fall = 0.86
The seasonal index for Winter = 0.77
The seasonal index for Spring = 1.01
The seasonal index for Summer = 1.36
Seasonal sandwich sales for the year 2014
Fall = 40.6
Winter = 41.5
Spring = 47.3
Summer = 74.5
Deseasonalized data for 2014 = Sandwich sales for the season / Seasonal index
Deseasonalized data for fall = 40.6 / 0.86 = 47.21
Deseasonalized data for winter = 41.5 / 0.77 = 53.9
Deseasonalized data for spring = 47.3 / 1.01 = 46.84
Deseasonalized data for summer = 74.5 / 1.36 = 54.77
Hence the correct answer is option c.
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