Math Problem Statement

Lamar wants to find the average time it takes Central High School students to run a lap around the track. So he will consider 40 students to find the average time. Answer the questions below: (a) Which unit(s) could be used for the unit of measurement? Check all that apply. (b) Which of the procedures below would be the best way to find the average time?

Solution

Let's analyze the questions in the image.


Question (a):

"Which unit(s) could be used for the unit of measurement? Check all that apply."

For measuring time, appropriate units are:

  • Hours
  • Seconds

Feet, inches, and meters are units of distance, not time.


Question (b):

"Which of the procedures below would be the best way to find the average time?"

  • The correct answer is: "Randomly pick 40 students to run a lap around the track and measure their times."

Explanation: This method ensures randomness and fairness, providing accurate data collected through direct measurement rather than relying on students to state their own times, which could be prone to errors or exaggerations.


Would you like a detailed breakdown of why these answers were selected, or do you have any further questions? 😊


Here are 5 related questions to expand on this topic:

  1. What are the advantages of using random sampling when collecting data?
  2. Why is direct measurement of data more reliable than self-reported data?
  3. How would the average time change if fewer students were measured?
  4. What statistical methods could be used to analyze the collected time data?
  5. How can units of time (seconds, minutes, hours) be converted to a consistent format for analysis?

Tip: When working with data, always ensure randomness to reduce bias and improve the reliability of your results!

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Math Problem Analysis

Mathematical Concepts

Statistics
Data Collection
Units of Measurement

Formulas

Average time = Total time of all measurements ÷ Number of students

Theorems

Random Sampling Principle

Suitable Grade Level

Grades 6-8