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. Real-life Applications: UrbanPro's tutors relate mathematical problem-solving to real-world scenarios, making learning more engaging. Interactive Learning: Tutors conduct interactive sessions, ensuring active student participation in problem-solving exercises. Heading 6: Why Choose UrbanPro for Class 10 Tuition Coaching? Verified Tutors: UrbanPro verifies the credentials of its tutors, ensuring students receive guidance from qualified and experienced educators. Customized Learning Plans: Tutors tailor lessons to suit individual learning styles, ensuring effective understanding of mathematical concepts. Proven Academic Success: Many students have excelled in mathematics through UrbanPro's platform, showcasing the effectiveness of our tuition coaching. 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!** read less