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Step deviation method

The step deviation method is a fast way to find the mean of grouped data when class widths are equal.

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Main explanation

Teacher explanation

This method is used when the class intervals have the same width. We choose an assumed mean, divide deviations by class width to get small coded values, and then use a simpler formula. It is especially helpful in long tables because the numbers become easier to manage.

Example

If class width is 10 and a deviation is 20, then the coded deviation is 2.

Simple analogy

Same width, smaller numbers, faster mean.

Common confusion

Students forget that this method works best when all class widths are equal, so they apply it blindly to unequal intervals.

Exam tip

Check the class width first. If all intervals are equal, step deviation can save time in the board exam.

Answer writing and exam use

1-mark use

Write the exact meaning of step deviation method in one clean line.

2-mark use

Define step deviation method and add one example or condition.

3-mark use

Explain step deviation method, show the method or example, and mention the common mistake.

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