To solve for the five-year moving average against year 5 using the provided sales data, we'll follow these steps:
1. Identify the relevant years for the moving average calculation:
- Since we are calculating the moving average for year 5, we need to consider the sales data for years 3 to 7 (inclusive). This is because a five-year moving average involves the data from two years before the target year, the target year itself, and two years after the target year.
2. Extract the sales data for the relevant years:
- Year 3: ₹43
- Year 4: ₹34
- Year 5: ₹44
- Year 6: ₹54
- Year 7: ₹34
3. Sum the sales data for these five years:
[tex]\[
\text{Sum of sales} = 43 + 34 + 44 + 54 + 34
= 209
\][/tex]
4. Divide the sum of the sales by the number of years (5 years):
[tex]\[
\text{Five-year moving average} = \frac{209}{5} = 41.8
\][/tex]
Hence, the five-year moving average against year 5 is 41.8.
The correct answer is (d) 41.8.
