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

The sides of a triangle are 13 cm, 14 cm, and 15 cm. What is its area?

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

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

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What is the sum of all odd numbers from 1 to 99?

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If the product of two numbers is 120 and their sum is 26, what are the numbers?

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If x^2 + 4x + 4 = 0, what is the value of x?

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What is the LCM of 15 and 20?

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If the angles of a triangle are in the ratio 2:3:4, what is the measure of the largest angle?

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What is the HCF of 48 and 180?

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