Averages and Range

Chapter summary, hard words and model exam answers for ICSE Class 10 Hindi.

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Mathematics · CBSE 10 · ICSE 10 · GCSE (AQA, Edexcel, OCR)

Instead of listing every score, we report one representative value. The three averages are mean, median and mode.

The mean uses every value, so outliers move it. The median and mode are barely affected by a single extreme value.

A small range means consistent data; a large range means it varies a lot. Two sets can share a mean yet have very different ranges.

Examiners often ask you to justify your choice, so always give a reason linked to the data, such as 'because the outlier skews the mean'.

mean	the sum of all values divided by how many there are
median	the middle value of an ordered data set
mode	the value that occurs most frequently
range	the difference between the largest and smallest values
outlier	a value much larger or smaller than the rest
spread	how widely the data values are scattered
skewed	data not balanced symmetrically around the centre
representative	describing the data set well as a typical value

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