5. The mean of 5 numbers is given as 18, if one number is excluded then their mean is 16. What is the excluded number?

Understanding the dynamics of mean and the impact of excluding a number is crucial in Class 10 tuition coaching. As a registered tutor on UrbanPro.com, I'll guide you through solving a problem where the mean of 5 numbers is given, and excluding one number alters the mean.

Heading 1: Grasping the Problem: Let's start by understanding the given information about the mean of 5 numbers.

Sub-heading 1: Given Mean:

• The mean of the 5 numbers is provided as 18.

Heading 2: Impact of Excluding a Number: Now, let's explore how excluding one number affects the mean.

Sub-heading 1: New Mean:

• If one number is excluded, the new mean becomes 16.

Heading 3: Mathematical Representation: Let's represent the given information mathematically.

Sub-heading 1: Mathematical Formulation:

• Let the sum of 5 numbers be SS.
• The mean M1M1 is calculated as M1=S5=18M1=5S=18.
• If one number is excluded, the new mean M2M2 is M2=16M2=16.

Heading 4: Solving for the Excluded Number: Now, let's solve for the excluded number.

Sub-heading 1: Expressing the Sum:

• The sum of the 5 numbers (SS) can be expressed as S=5×M1S=5×M1.

Sub-heading 2: Relationship Between M1M1, M2M2, and the Excluded Number:

• The excluded number (XX) is related to M1M1 and M2M2 by X=5×M1−4×M2X=5×M1−4×M2.

Heading 5: UrbanPro's Expert Math Tutors - Mastering Mathematical Problem-Solving: Let's explore how UrbanPro.com enriches your problem-solving skills through Class 10 tuition coaching.

• Conceptual Clarity: Tutors ensure students understand the concepts of mean and its variations for effective application.
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Conclusion: Problem-Solving Excellence with UrbanPro's Expertise: In conclusion, UrbanPro.com stands as the go-to platform for mastering mathematical problem-solving in Class 10 tuition coaching. Our experienced tutors guide students through intricate problems involving mean and excluded numbers, providing a strong foundation in mathematical analysis. Join UrbanPro for trusted tuition coaching and elevate your mathematical problem-solving skills. Success in mathematical reasoning awaits you with UrbanPro's expert tutors!**