Consider the following data:

Yearly Sales at the Local Gift Shop (in Dollars)
Year	2000	2001	2002	2003	2004	2005	2006	2007	2008
Sales	664437
577363
541512
587159
745308
557468
745545
604517
617367

Step 1 of 2 :  Find the two-period moving average for year 2008. If necessary, round to one more decimal place than the largest number of decimal places given in the data.

To calculate the two-period moving average for the year 2008, we need to take the average of the sales for the years 2007 and 2008. 

Here are the sales figures for those years:

- Sales in 2007: 604,517
- Sales in 2008: 617,367

The formula for the two-period moving average is:

\[
\text{Two-period moving average for 2008} = \frac{\text{Sales in 2007} + \text{Sales in 2008}}{2}
\]

Now, let's calculate it:

\[
\text{Two-period moving average for 2008} = \frac{604,517 + 617,367}{2} = \frac{1,221,884}{2} = 610,942
\]

So, the two-period moving average for the year 2008 is **610,942**.

Would you like more details or have any questions?

Here are 5 related questions for further practice:
1. What is the three-period moving average for the year 2008?
2. How would the moving average change if the sales in 2008 were 620,000 instead of 617,367?
3. Calculate the two-period moving average for the year 2007.
4. How does the two-period moving average for 2008 compare to that of 2007?
5. What trends can you observe in the moving averages from 2000 to 2008?

**Tip:** Moving averages are often used to smooth out short-term fluctuations and highlight longer-term trends or cycles.

Find the two-period moving average for year 2008 given the yearly sales data from 2000 to 2008.

Learn how to calculate the two-period moving average for the year 2008 using sales data from 2000 to 2008. This statistical problem demonstrates key concepts in data analysis and moving averages, suitable for students in Grades 9-12.

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