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

What is the area of an equilateral triangle with side length 10 cm?

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A number is increased by 20% and then decreased by 20%. What is the net change?

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A sum of money doubles itself in 5 years at simple interest. What is the rate of interest?

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The angles of a quadrilateral are in the ratio 3:4:5:6. What is the largest angle?

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What is the area of a sector of a circle with radius 14 cm and central angle 90°?

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If the probability of an event is 1/4, what is the probability of its complement?

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

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If a:b = 3:4 and b:c = 5:6, what is a:c?

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A man spends 75% of his income and saves Rs. 600. What is his total income?

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

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