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

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