The tourist industry is subject to enormous seasonal variation. The Fulbari Resort in Pokhara has recorded its occupancy rate (percentage of total rooms) for each quarter during the last 4 years. These data are shown in the following table.

[tex]\[
\begin{tabular}{|c|c|c|c|c|}
\hline
\multirow{2}{*}{Year} & \multicolumn{4}{|c|}{Occupancy Rate (\%)} \\
\cline{2-5}
& $Q_1$ & $Q_2$ & $Q_3$ & $Q_4$ \\
\hline
2008 & 56 & 70 & 80 & 60 \\
\hline
2009 & 57 & 73 & 86 & 62 \\
\hline
2010 & 60 & 74 & 90 & 65 \\
\hline
2011 & 66 & 83 & 87 & 87 \\
\hline
\end{tabular}
\][/tex]



Answer :

To find the average annual occupancy rate for each year, you need to follow these detailed steps:

1. Understand the data: We have occupancy rates for each quarter (Q1, Q2, Q3, Q4) over four years (2008, 2009, 2010, 2011).

2. Extract the data:
- For 2008: Q1 = 56%, Q2 = 70%, Q3 = 80%, Q4 = 60%
- For 2009: Q1 = 57%, Q2 = 73%, Q3 = 86%, Q4 = 62%
- For 2010: Q1 = 60%, Q2 = 74%, Q3 = 90%, Q4 = 65%
- For 2011: Q1 = 66%, Q2 = 83%, Q3 = 87%, Q4 = 87%

3. Calculate the annual average occupancy rate:
- For each year, sum the occupancy rates of all four quarters and divide by 4 (since there are 4 quarters in a year).

4. Computation:
- For 2008:
[tex]\[ \text{Average occupancy rate} = \frac{56 + 70 + 80 + 60}{4} = \frac{266}{4} = 66.5\% \][/tex]
- For 2009:
[tex]\[ \text{Average occupancy rate} = \frac{57 + 73 + 86 + 62}{4} = \frac{278}{4} = 69.5\% \][/tex]
- For 2010:
[tex]\[ \text{Average occupancy rate} = \frac{60 + 74 + 90 + 65}{4} = \frac{289}{4} = 72.25\% \][/tex]
- For 2011:
[tex]\[ \text{Average occupancy rate} = \frac{66 + 83 + 87 + 87}{4} = \frac{323}{4} = 80.75\% \][/tex]

5. Summarize the results:
- 2008: 66.5%
- 2009: 69.5%
- 2010: 72.25%
- 2011: 80.75%

Therefore, the annual average occupancy rates for the Fulbari Resort in Pokhara over the four years are 66.5% (2008), 69.5% (2009), 72.25% (2010), and 80.75% (2011).