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). What is the median height of the class?
A.162.41 cm
B.163.41 cm
C.164.41 cm✓ Correct
D.165.41 cm
Explanation
Total students N = 64, N/2 = 32. Cumulative frequencies: 12, 27, 51, 64. The median class is 164–166 (since 32 falls between 27 and 51). Median = L + ((N/2 − F)/f)·h = 164 + ((32 − 27)/24)·2 = 164 + 10/24 = 164 + 0.417 ≈ 164.41 cm.
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