Topic Details (Notes format)

How to Calculate the Median of a Data Set

Subject: Mathematics

Book: Maths Mastery

The median is a central value that splits a dataset into two halves, particularly useful when outliers could distort the mean. To find the median, arrange the numbers in ascending order and identify the middle. If there is an odd count of values, the median is the central one; if even, it is the average of the two central values. For instance, in [3, 8, 12, 20, 25], the middle is 12, so the median = 12. In an even case like [2, 5, 7, 11], you take (5 + 7) รท 2 = 6. The median helps you gauge typical values in income distributions, housing prices, and exam scores, making it a critical measure for balanced data interpretation.

Practice Questions

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

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If 3x = 81, what is the value of x?

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The sum of the reciprocals of two numbers is 1/4. If one number is 12, what is the other?

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A rectangle has a length of 10 cm and a width of 5 cm. What is the diagonal of the rectangle?

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

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What is the 7th term of the arithmetic progression 3, 6, 9, 12,...?

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If the ratio of two numbers is 3:5 and their HCF is 4, what are the numbers?

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

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If x = 3 and y = 4, what is the value of x^2 + y^2?

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If the perimeter of a square is 40 cm, what is the area of the square?

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