The frequency distribution of height of students of a class is given (Height in cm: 160–162, 162–164, 164–166, 166–168 with Number of Students: 12, 15, 24, 13). The height which occurs most frequently in the class is
A.163.5 cm
B.163.9 cm
C.164.5 cm
D.164.9 cm✓ Correct
Explanation
The modal class is 164–166 (highest frequency 24). Mode = L + ((f₁ − f₀)/(2f₁ − f₀ − f₂))·h = 164 + ((24 − 15)/(48 − 15 − 13))·2 = 164 + (9/20)·2 = 164 + 0.9 = 164.9 cm.
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