Topic Details (Notes format)

How to Calculate Z-Scores (Standardized Scores)

Subject: Mathematics

Book: Maths Mastery

Z-scores show how many standard deviations a data point is from the mean, using z = (x – μ) / σ, where μ is the mean and σ is the standard deviation. A positive z-score means x is above the mean, a negative z-score indicates it is below, and zero indicates x equals the mean. Z-scores streamline comparisons across different scales—for example, comparing test scores from different exams or measuring performance across varied categories. Mastering z-score computation is vital for statistical analysis, enabling normalized data interpretation in scientific research or standardized testing contexts.

Practice Questions

The base of a triangle is 10 cm and its height is 6 cm. What is its area?

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The perimeter of a rectangle is 50 cm, and its length is 15 cm. What is its width?

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

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The sides of a triangle are 7, 24, and 25. Is this a right triangle?

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

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If the sides of a triangle are 6 cm, 8 cm, and 10 cm, what is the area of the triangle?

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The probability of rolling a sum of 7 with two dice is:

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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 slope of a line passing through the points (2, 3) and (4, 7)?

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The LCM of two numbers is 60, and their HCF is 5. If one of the numbers is 20, what is the other number?

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