Math Problem Statement

The following table represents the volume of sales (in millions of rupees) of a certain company for 2004–2022. The task involves plotting the data, applying 3-year and 7-year moving averages, and analyzing differences in smoothing results.

Solution

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Math Problem Analysis

Mathematical Concepts

Time Series Analysis
Moving Averages
Data Visualization

Formulas

3-year Moving Average: (Sales[i-1] + Sales[i] + Sales[i+1]) / 3
7-year Moving Average: (Sales[i-3] + Sales[i-2] + Sales[i-1] + Sales[i] + Sales[i+1] + Sales[i+2] + Sales[i+3]) / 7

Theorems

Basic principles of smoothing techniques in time series analysis

Suitable Grade Level

Grades 11-12

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