Math Problem Statement

solve

In how many of the given years was the expenditure more than the average expenditure of the given years?

Solution

From the image provided, the question asks: "In how many of the given years was the expenditure more than the average expenditure of the given years?"

The graph shows the income and expenditure of a company from 1987 to 1992.

Steps to solve:

  1. Identify the expenditure values from the graph for each year:

    • 1987: 400
    • 1988: 300
    • 1989: 350
    • 1990: 250
    • 1991: 450
    • 1992: 200
  2. Calculate the average expenditure: Average Expenditure=400+300+350+250+450+2006\text{Average Expenditure} = \frac{400 + 300 + 350 + 250 + 450 + 200}{6}

  3. Check how many years had an expenditure greater than this average.

Let me calculate this for you now.The average expenditure over the given years is ₹325 crores. The expenditure was greater than this average in 3 years (1987, 1989, and 1991).

Would you like any further details or explanations on this?

Here are five related questions:

  1. How is the average calculated in data analysis?
  2. How can you visually determine when a data point is above or below the average in a graph?
  3. What are some methods to analyze trends in income vs expenditure?
  4. How does variance in expenditure affect a company’s financial planning?
  5. How can companies use historical expenditure data for future budgeting?

Tip: When comparing data across years, calculating the average is a simple but powerful tool to determine overall trends and identify outliers.

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Math Problem Analysis

Mathematical Concepts

Averages
Data Interpretation
Graph Analysis

Formulas

Average = (Sum of Values) / (Number of Values)

Theorems

None

Suitable Grade Level

Grades 10-12