Math Problem Statement
Solution
Let's go over the two parts of the question in your image:
(a) Units of Measurement:
The question asks which units could be used for measuring the time it takes students to run a lap. The units that could apply for time are:
- Minutes (plausible for longer times).
- Seconds (appropriate for short lap times).
Units like centimeters, meters, and hours are not appropriate:
- Centimeters and meters measure distance, not time.
- Hours would be far too large for such short activities like running a lap.
Thus, the correct answers for part (a) are:
- Minutes
- Seconds
(b) Best Procedure to Find the Average Time:
You are asked to select the best procedure to find the average time. The goal is to get a reliable and unbiased sample that accurately represents the whole student population.
Among the options:
- Asking students to state their own times is prone to inaccuracies since they may not be precise.
- Measuring the time of only 4 students may not provide a large enough sample to be representative.
The best option would be:
- Randomly picking 24 students and measuring their times. This method provides a larger, randomized sample and ensures accuracy by using proper measurements.
Thus, the best choice for part (b) is:
- Randomly pick 24 students to run a lap around the track and measure their times.
Do you have any questions or would you like more details on these concepts?
Here are 5 related questions you might want to explore:
- Why is it important to use random selection in experiments?
- What is the benefit of using a larger sample size for calculating averages?
- How does the unit of measurement affect the precision of time tracking?
- What are some methods to ensure accurate time measurements in running events?
- How could we visualize the data collected from the 24 students?
Tip: Random sampling helps avoid bias and makes the results more representative of the entire population.
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Math Problem Analysis
Mathematical Concepts
Time Measurement
Statistics
Random Sampling
Average Calculation
Formulas
Average = (Sum of individual times) / (Number of students)
Theorems
Law of Large Numbers
Sampling Theory
Suitable Grade Level
Grades 6-8