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Choice of class mark

The class mark is the midpoint of a class interval and is used as the representative value of that class in grouped-data calculations.

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Main explanation

Teacher explanation

The class mark stands for the centre of a class interval. It is found by adding the lower and upper limits and dividing by 2. In mean calculations, it provides one value that can represent all observations inside the class.

Example

For the class 20-30, the class mark is (20 + 30) / 2 = 25.

Simple analogy

Middle of the interval, middle of the calculation.

Common confusion

Students sometimes choose the upper limit or lower limit instead of the midpoint.

Exam tip

If the class interval is written as a range, the midpoint is almost always the safest representative value.

Answer writing and exam use

1-mark use

Write the exact meaning of choice of class mark in one clean line.

2-mark use

Define choice of class mark and add one example or condition.

3-mark use

Explain choice of class mark, show the method or example, and mention the common mistake.

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