Math Problem Statement

Juan wants to find the average time it takes East High School students to run a lap around the track. He considers a sample of students to determine this average. (a) Which unit(s) could be used for measurement? (b) Which procedure would be the best way to find the average time?

Solution

Let me analyze the image and provide assistance. One moment.From the image, the problem asks:

Juan wants to find the average time it takes East High School students to run a lap around the track.

Questions:

  1. (a) Which units could be used for the unit of measurement?

    • The correct choices are minutes and seconds, as these are standard time measurement units for such an activity.
    • Other options like hours, inches, and meters are not applicable for time measurement.
  2. (b) Which procedure would be the best way to find the average time?

    • Correct answer: "Randomly pick 24 students to run a lap around the track and measure their times."
    • This method ensures randomness, a sufficient sample size (24 is large enough), and accurate data (times are measured, not self-reported).

The chosen answers should be:

  • (a) Minutes and Seconds.
  • (b) Randomly pick 24 students to run a lap around the track and measure their times.

Would you like further clarification or assistance?

Related Questions:

  1. Why is it important to use random sampling when finding averages in statistics?
  2. How does increasing the sample size (e.g., 24 students instead of 6) improve the reliability of the results?
  3. Why is self-reported data (e.g., students stating their own times) generally less reliable than measured data?
  4. Can you convert between minutes and seconds for different scenarios in this context?
  5. How would outliers (extremely slow or fast runners) affect the calculated average?

Tip: Random sampling reduces bias and ensures the sample is representative of the population.

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Math Problem Analysis

Mathematical Concepts

Statistics
Sampling
Measurement

Formulas

Average = Sum of all measured times / Number of samples

Theorems

Random Sampling for unbiased representation

Suitable Grade Level

Grades 6-8