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Piyush365
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Asked: 2026-10-05T07:29:14+00:00 In:

Given some data with corresponding weights, what would happen to the weighted average if all the weights are increased by a constant value, say 1? If required, experiment with some data. What do you observe? Justify your answer using algebra.

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The weighted average shifts closer to the simple arithmetic mean. Adding 1 to each weight reduces relative differences between weights, diminishing the dominant impact of originally heavy-weighted values.

CBSE released Class 9 Ganita Manjari Part 2 book and Solutions
Class 9 How Quantities Combine Understanding Data (Ganita Manjari 2) Solutions

chapter 10 how quantities combine understanding data solutionsdownload class 9 maths ganita manjari part 2 book and solutionsexperiment with some dataif requiredncert solutions – ganita manjari part ii how quantities combine understanding datasome data with corresponding weightswhat would happen to the weighted average
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    1. The weighted average shifts toward the unweighted arithmetic mean. Algebraically, the new mean is Σ(wᵢ + 1)xᵢ / Σ(wᵢ + 1) = [Σwᵢxᵢ + Σxᵢ] / [Σwᵢ + n]. This expression represents a blend of the original weighted mean and the unweighted sum of values. Adding a constant flattens the relative ratio between weights, pulling the final average closer to the simple mean.

       

      For more NCERT Solutions of Class 9 Maths Ganita Manjari Part 2 Chapter 10 How Quantities Combine Understanding Data Question Answer (2026-27)

      https://www.tiwariacademy.com/ncert-solutions/class-9/maths/ganita-manjari-chapter-10/

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