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Use the formula: Mean = Σfx ÷ Σf, with midpoints.
Mean = Σfx ÷ Σf where f = frequency, x = midpoint.
Midpoint = (lower + upper) ÷ 2 of the class interval.
Multiply the frequency (f) by the midpoint (x) for each interval.
Values within groups may not be evenly spread; it’s an estimate.
Divide Σfx by Σf for the estimated mean.
They impact accuracy; assumptions about distribution affect results.
It is often denoted as x̄ (x bar) in statistical notation.
Midpoints 10,20,35; Σfx=415, Σf=20; mean=20.75
Mean ≈ 23.6 years
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