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

If the sum of three consecutive integers is 72, what are the integers?

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A sphere has a radius of 7 cm. What is its volume?

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What is the greatest common divisor (GCD) of 36 and 48?

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What is the area of a circle with a diameter of 14 cm?

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If a number is divisible by 9, it is also divisible by which of the following?

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A train 120 meters long is moving at a speed of 54 km/h. How long will it take to pass a pole?

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A number is increased by 20% and then decreased by 10%. What is the net change?

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If a:b = 7:9 and b:c = 5:6, what is a:c?

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

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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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