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Revision: Data Handling >> Mean and Median Maths ICSE ICSE Class 6 CISCE

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Definitions [2]

Definition: Mean (or Average)

The term Mean (or Average) refers to a single, representative value that is used to summarize an entire set of data. Its main purpose is to locate the "center" or typical value within a data distribution.

Mathematically, an average is known as a Measure of Central Tendency.

Definition: Median

Median is the value of the middle-most observation(s). The median is a measure of central tendency which gives the value of the middle-most observation in the data.

Formulae [3]

Formula: Average

Mean (or Average) = `"Sum of all observations" / "Total number of observations"`

Formula: Odd Number of Observations

If the number of data points (n) is odd, the median is,

Median = `((n+1)/2)^(th)` term

Formula: Even Number of Observations

If n is even, the median is the average of the values at positions

Median = Average of  `(n/2)^(th)` and `(n/2+1)^(th)` values

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