If a scientist collected rainfall data for every day of the week, summed all the rainfall values together, and divided that total by the number of days sampled, the researcher would find the
Blank
______ rainfall per day.

Question

If a scientist collected rainfall data for every day of the week, summed all the rainfall values together, and divided that total by the number of days sampled, the researcher would find the 
Blank
______ rainfall per day.

BlackTom AI · Accepted Answer

The arithmetic mean is calculated by summing all observed values and dividing by the number of observations, so the correct fill is "mean."

1. Relevant knowledge points and concepts
- Arithmetic mean (average): measure of central tendency found by adding all data values and dividing by the count.
- Minimum and maximum: the smallest and largest single observations, not averages.
- Probability: a measure of likelihood, not a measure of central tendency.

2. Step-by-step reasoning process
- The scientist collects rainfall for each day of the week (7 values).
- To find the per-day average rainfall, add all seven daily rainfall amounts to get a total rainfall for the week.
- Divide that total by the number of days sampled (7) to get the mean rainfall per day.

3. Example calculation with intermediate steps
Suppose the seven daily rainfall amounts (in inches) are: 0.2, 0.5, 0.0, 1.1, 0.3, 0.0, 0.4.
- Sum them: 0.2 + 0.5 + 0.0 + 1.1 + 0.3 + 0.0 + 0.4 = 2.5 inches (total for week).
- Divide by number of days: 2.5 ÷ 7 = 0.357142857... ≈ 0.357 inches per day.
This result is the arithmetic mean rainfall per day.

4. Why the correct answer is correct
- The phrasing "summed all the rainfall values together, and divided that total by the number of days sampled" is the textbook procedure for computing the arithmetic mean. Thus "mean" directly matches the described operation.

5. Why the other options are incorrect
- Probability: relates to chance of an event, not an average of measured values.
- Minimum: the smallest single-day rainfall; obtained by selecting the lowest value, not summing and dividing.
- Maximum: the largest single-day rainfall; also an extreme value, not an average.

6. Conclusion
The described procedure yields the arithmetic mean, so the correct answer is "mean," which matches the provided answer.

If a scientist collected rainfall data for every day of the week, summed all the rainfall values together, and divided that total by the number of days sampled, the researcher would find the Blank ______ rainfall per day.单项选择题

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