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 greatest common divisor (GCD) of 36 and 48?

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If the length of a rectangle is doubled and the width is halved, what is the change in area?

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If x:y = 2:3 and z:y = 4:3, what is x:z?

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What is the cube root of 729?

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If a+b = 10 and ab = 21, what is the value of (a-b)^2?

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If a = 4 and b = 5, what is the value of (a+b)^2?

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What is the square root of 121?

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

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

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