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MINIMUM

Minimum

Definition Of Minimum

Minimum is the smallest or the least value in a given set of data.

More About Minimum

Finding the minimum number is easy by arranging the numbers in descending order.

Examples Of Minimum

Examples of   Minimum

All the numbers in the above figure are arranged in descending order. The least number is 5 among all the numbers. So, 5 is the minimum value.

Video Examples: Maximum and Minimum values of Trigonometric functions

Solved Example on Minimum

Ques: Find the minimum value of the given data set. 230, 148, 114, 106, 130, 148, 222, 100

Choices:

A. 106
B. 222
C. 100
D. 230
Correct Answer: D

Solution:

Step 1: Arrange the numbers in the data in the descending order.
Step 2: The descending order is 230, 222, 148, 130, 114, 106 and 100.
Step 3: The minimum value of the given data set is 100.

Quick Summary

  • Minimum is the smallest number.
  • Arranging numbers in descending order helps find the minimum.
\[ min(S) \]

⚠️ Common Mistakes

  • Confusing minimum with maximum.
  • Not arranging numbers correctly.

🌍 Real-World Uses

  • Determining the lowest temperature recorded in a day for weather forecasting.
  • Identifying the shortest route in a navigation app to optimize travel time.
  • Finding the lowest price of a product across different stores to save money.

🔗 Related Links

🍎 Teacher Insights

Use real-world examples like the smallest height in the class to illustrate the concept.

🎓 Prerequisites

  • Ordering Numbers
  • Comparing Numbers

Check Your Knowledge

Q1: What is the minimum value in the set: 5, 10, 1, 7?

Frequently Asked Questions

Q: How do I find the minimum?
A: Order the numbers from largest to smallest; the last number is the minimum.

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