The following data represents quarterly sales of lawnmowers.
$$\begin{array} { | c | c | c | c | c | }
\hline \text { Year } & \text { Quarter 1 } & \text { Quarter 2 } & \text { Quarter 3 } & \text { Quarter 4 } \
\hline 1 & 150 & 140 & 190 & 165 \
\hline 2 & 160 & 148 & 210 & 175 \
\hline
\end{array}$$
-What is the seasonal index for the fourth quarter? (Round to the nearest hundredth.)
A) .20
B) .23
C) .25
D) .30

Question

The following data represents quarterly sales of lawnmowers.
 $$\begin{array} { | c | c | c | c | c | } 
\hline \text { Year } & \text { Quarter 1 } & \text { Quarter 2 } & \text { Quarter 3 } & \text { Quarter 4 } \
\hline 1 & 150 & 140 & 190 & 165 \
\hline 2 & 160 & 148 & 210 & 175 \
\hline
\end{array}$$
-What is the seasonal index for the fourth quarter? (Round to the nearest hundredth.)
A) .20
B) .23
C) .25
D) .30

Quizplus · Accepted Answer

To calculate the seasonal index for the fourth quarter, first find the average sales per quarter over the two years, then calculate the average sales for all quarters combined, and finally, divide the average sales for the fourth quarter by the overall average and multiply by 100. The calculation is as follows: Average sales for Q4 = (165 + 175) / 2 = 170Total sales for all quarters = 150 + 140 + 190 + 165 + 160 + 148 + 210 + 175 = 1238Average sales for all quarters = 1238 / 8 = 154.75Seasonal index for Q4 = (170 / 154.75) * 100 ≈ 109.85%However, the seasonal index is typically expressed as a percentage of the average or as a factor (e.g., 1.10 for 110%). The provided options suggest a misunderstanding of the calculation or a misinterpretation of the question. Given the options and the typical approach to calculating a seasonal index, none of the options accurately reflect the correct calculation for a seasonal index based on the provided data and standard methodology.

The Following Data Represents Quarterly Sales of Lawnmowers -What Is the Seasonal Index for the Fourth Quarter? (Round