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The width of class intervals is normally determined by the data and not whether you want to calculate the arithmetic mean.

For general population statistics you might use class widths of 6 or 10 years.


But if you were studying school children in the UK you might use the following, unequal bands:

Nursery-reception: 2 years

Years 1 and 2: 2 years

Years 3 to 6: 4 years

Years 7 to 9: 3 years (Lower secondary)

Years 10 to 11: 2 years (Upper secondary)

Years 12 to 13: 2 years (A levels).



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Q: How do you decide the width of class intervals in arithmetic mean?
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