Topic Details (Notes format)

How to Calculate the Mean (Average)

Subject: Mathematics

Book: Maths Mastery

Calculating the mean is a cornerstone of data analysis, letting you gauge the central tendency of a set of numbers. The formula is straightforward: Mean = (Sum of All Values) ÷ (Number of Values). For instance, if you have monthly sales figures like [120, 150, 130, 100], the sum is 500 and there are 4 values, so the mean is 500 ÷ 4 = 125. Means are used in classroom grading, budgeting, and countless scientific analyses. Developing a strong intuitive feel for what the mean signifies helps interpret test scores, plan resource allocations, and evaluate trends in everyday life.

Practice Questions

A rectangle has a length of 10 cm and a width of 5 cm. What is the diagonal of the rectangle?

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If a square has a perimeter of 64 cm, what is its area?

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A square is inscribed in a circle with a radius of 5 cm. What is the area of the square?

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What is the sum of all angles in a hexagon?

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A sum triples in 20 years at simple interest. What is the rate of interest per annum?

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If 2x = 16, what is the value of x?

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If x = 3 and y = 4, what is the value of x^2 + y^2?

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If 2a + b = 10 and a - b = 4, what is the value of a?

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If the ratio of two numbers is 3:5 and their HCF is 4, what are the numbers?

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If the cost price of an item is Rs. 400 and the selling price is Rs. 500, what is the profit percentage?

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