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

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

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A man rows downstream at 6 km/h and upstream at 4 km/h. What is the speed of the stream?

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What is the remainder when 5^100 is divided by 3?

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If a+b = 10 and ab = 21, what is the value of a^3 + b^3?

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The sum of the squares of two consecutive integers is 145. What are the integers?

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If the sum of the angles of a polygon is 1080°, how many sides does the polygon have?

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If 5x - 2 = 13, what is the value of x?

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What is the sum of the first 20 odd numbers?

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What is the probability of drawing a king from a standard deck of 52 playing cards?

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