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The four-period moving average values for periods 3 to 6
are:
30.25 , 32.00 , 33.25 , 35.25                                                                                                             What are the central moving average values for periods 3 to 6?
Group of answer choices
31.13 , 32.63 , 34.25 , 36.13
31.00 , 32.38 , 34.25 , 36.13
30.25 , 31.75 , 33.00 , 35.50
31.63 , 33.13 , 34.75 , 36.25

To find the **central moving average values**, we first need to calculate the average between each consecutive pair of four-period moving average values given for periods 3 to 6. The given moving averages are:

- 30.25
- 32.00
- 33.25
- 35.25

The central moving averages for periods 3 to 6 are computed as the average between each pair of consecutive moving averages:

1. Average for periods 3 and 4: \(\frac{30.25 + 32.00}{2} = 31.125\)
2. Average for periods 4 and 5: \(\frac{32.00 + 33.25}{2} = 32.625\)
3. Average for periods 5 and 6: \(\frac{33.25 + 35.25}{2} = 34.25\)
4. Average for periods 6 and 7: \(\frac{35.25 + 36.25}{2} = 36.25\)

These rounded values give us the following central moving averages:

**31.13, 32.63, 34.25, 36.13**

Hence, the correct answer is:

**31.13, 32.63, 34.25, 36.13**

Let me know if you'd like further details or have any questions! 

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**Relative Questions:**

1. What is a four-period moving average, and how is it different from other moving averages?
2. How does a central moving average help in smoothing data trends?
3. Can you calculate the central moving average for other periods in this data set?
4. How is a weighted moving average different from a simple moving average?
5. How can moving averages be used to forecast future sales or trends?

**Tip:** Moving averages are a great tool for smoothing out short-term fluctuations and highlighting long-term trends, especially in time series data.

The four-period moving average values for periods 3 to 6 are: 30.25, 32.00, 33.25, 35.25. What are the central moving average values for periods 3 to 6?

Learn how to calculate central moving averages from given four-period moving averages. This tutorial includes step-by-step explanations of statistical concepts such as moving averages and their applications.

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