The three-moving mean for time period 2 is closest to:

Question

BlackTom AI · Accepted Answer

A three-point (three-moving) average at time t is the arithmetic mean of the data at t and its two neighboring periods. For a centered 3-point moving average you average the three consecutive values that include the target period.

1. Relevant knowledge points and concepts
- A k-point moving average smooths short-term fluctuations by averaging k consecutive observations.
- For a three-moving mean at time period 2 we use the values at periods 1, 2 and 3: (value1 + value2 + value3) / 3.
- Round the result to the same precision as the choices (one decimal place).

2. Step-by-step reasoning
- Identify the three consecutive data values for time period 2: period 1 = 2.3, period 2 = 3.4, period 3 = 4.4.
- Compute their sum and divide by 3.

3. Intermediate calculation steps
- Sum: 2.3 + 3.4 + 4.4 = 10.1
- Divide by 3: 10.1 / 3 = 3.366666...
- Round to one decimal place: 3.3666... ≈ 3.4

4. Why the correct answer is correct
- The three-moving mean is the simple average of those three consecutive observations. The arithmetic gives 3.3666..., which rounds to 3.4, matching option d.

5. Why the other options are incorrect
- a. 3.6 is higher than the calculated 3.3666... (difference 0.2333), not the nearest rounding.
- b. 3.9 and c. 4.0 are even farther from 3.3666..., so they do not match the computed mean.
- Only 3.4 equals the correctly rounded three-point average.

6. Conclusion / final confirmation
- The computed three-moving mean for time period 2 is 10.1/3 ≈ 3.3666…, which rounded to one decimal place is 3.4. Therefore the correct answer is d. 3.4.

The three-moving mean for time period 2 is closest to:单项选择题

类似问题

The two-moving mean for time period 5 with centring is closest to:

The four-moving mean for time period 4 with centring is closest to:

The three-moving mean for time period 2 is closest to:

What is one advantage of using a moving average for forecasting?

The number of bicycles sold over the first four months of the year at a particular shop is given in the table below.[table] Month | January | February | March | April Bicycles sold | 83 | 75 | 63 | 70 [/table]The centered two-point moving mean number of sales for February is

A project has a required return of 12.6 percent, an initial cash outflow of $42,100, and cash inflows of $16,500 in Year 1, $11,700 in Year 2, and $10,400 in Year 4. What is the net present value?

更多留学生实用工具

智能学习助手

风格化写作助手

论文查重助手

文献引用助手

课堂转译助手

课堂笔记助手

Quiz搜索助手

学校历年真题

智能刷题助手

智能匹配练习

希望你的学习变得更简单