STEM Excellence Series: Empowering the Next Generation

RANDOM SAMPLE

Random Sample

Definition Of Random Sample

Random sample is a sample in which every individual or element in the population has an equal chance of being selected.

Random sample is a representative of the entire population.

Examples of Random Sample

The following are examples of random samples.
An environmentalist took 9 samples of effluents of an industry at different points.
A teacher chose a boy and a girl from a group of equally talented boys and girls to lead a parade.

Video Examples: Random Sample

Solved Example on Random Sample

Ques: Chris has 4 boxes of red, green, and blue marbles. He mixed all the marbles and picked 16 marbles randomly without looking. Would he get a random sample of marbles?

Choices:

A. No
B. Yes
Correct answer: B

Solution:

Step 1: Chris picked 16 marbles randomly from the box without looking, so he doesn't know which color marble he picked up.
Step 2: All the three colored marbles have equal chance of being selected.
Step 3: So, the event of picking up the 16 marbles is a random sample.

Quick Summary

  • Every element has an equal chance of being selected.
  • It aims to be representative of the entire population.
\[ P(selection) = 1/N, where N is the population size \]

🍎 Teacher Insights

Emphasize the difference between random and arbitrary selection. Use real-world examples to illustrate the concept.

🎓 Prerequisites

  • Basic probability
  • Set theory

Check Your Knowledge

Q1: Which of the following is NOT a characteristic of a random sample?

Frequently Asked Questions

Q: Why is random sampling important?
A: It minimizes bias and allows for statistical inferences about the population.

Q: How do I ensure a sample is truly random?
A: Use random number generators or other objective methods to select participants.

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